Elaboramos un

presupuesto familiar
que considere el kit de
bioseguridad
Competencia: Resuelve problemas de
cantidad
Reto:
-Sumar, restar, multiplicar y dividir números enteros
-Calcular el ingreso y egreso de una familia haciendo uso de números
enteros
.

¡Hola! En la actividad anterior, calculamos los ingresos familiares y gastos para el

equipamiento de un kit de bioseguridad familiar haciendo uso de números enteros.
Ahora, nos toca elaborar un presupuesto mensual familiar con los ingresos y gastos
de otra familia de Bernal; eso nos permitirá aportar información que permita dar
argumentos en la elaboración de recomendaciones para el cuidado preventivo de la
salud.

Respondemos: ¿de qué manera hemos calculado los ingresos y egresos en la

actividad anterior?, ¿qué debemos considerar en un presupuesto mensual familiar?
Leemos el siguiente problema:
En una familia de Bernal de 3 integrantes, la mamá y el papá ganan semanalmente S/400 cada uno. Y
gastan de la siguiente manera: alimentación S/300 por persona; vestimenta S/40 por persona; en
servicios de agua y luz S/80 y S/100, respectivamente; paquete de teléfono, internet y cable S/120;
alimentación para los cuyes S/80; gas S/38; e higiene personal S/40 por persona. Además, en esta
situación de pandemia compran cada mes un kit de bioseguridad compuesto por: 6 mascarillas de tela, a
S/12 cada una; 4 litros de alcohol, a S/8 cada uno, y 3 litros de lejía, a S/6 cada uno. ¿Cuál será el
presupuesto mensual de la familia si además recibe S/32 por cada uno de los seis cuyes que vendió? ¿A
cuánto asciende el gasto mensual por persona?

Identifiquemos los ingresos y egresos familiares que refiere el problema. Veamos la “Hoja de presupuesto”
y completamos las tablas con los datos del problema. Guíate del siguiente ejemplo:
Egreso mensual (3 personas)

Descripció Unidades Egreso por unidad Egreso total

n

Total
Completamos las tablas con los datos del problema. Guíate del siguiente ejemplo:
Ingreso mensual
Descripción Unidad Ingreso por unidad Ingreso total
Sueldo del papá o mamá 2 +S/.400 +S/.800
…..
Total
_________
Egreso mensual (3 personas)
Descripción Unidad Egreso por unidad Ingreso total
Alimentación 3 - S/.300 - S/.900
….
Kit de bioseguridad
familiar
Alcohol de un litro 3 -8 - S/.24
….
Total
_________
Asegurémonos de realizar nuestros cálculos haciendo uso de estrategias y procedimientos que más
consideremos conveniente, por ejemplo, para conocer el egreso total en la alimentación de la familia:

Primera forma: Recordar:

Regla de signos para producto de números enteros (aprender de memoria)
(−S/300) + (−S/300) + (−S/300) = −S/300 - S/300 - S/300

= -S/.600 – S/.300 Signos iguales

positivo, signos
= -S/. 900 diferentes negativo

Respondemos: ¿Es lo mismo decir 3 veces −S/300 = −S/900?, ¿por qué?

Recordar:
¿Qué relación hay entre la adición y la multiplicación? -Se pueden eliminar los paréntesis
-El paréntesis significa
multiplicación
+ (−S/300) = - S/. 300
Otra forma: +3 × (−S/300) = −S/900
Tomemos en cuenta que hay representaciones simbólicas equivalentes como: (−20) (−25) = −20 × −25 = +500
Y, ¿cuál sería la representación simbólica equivalente a (−10) (+25)?
 Desarrollo

Ingreso mensual

Descripción Unidades Egreso por unidad Egreso total

Sueldo de los padres 2 S/.300 S/. 600

Venta de cuyes 6 S/.32 S/.192

Total S/.792
 Descripción Unidades Egreso por unidad Egreso total
42
Alimentación 3 -S/.100 -S/. 300

Vestimenta 3 -S/.30 - S/.90

Agua -S/.20 - S/.20
Luz -S/.40 -S/.40
Teléfono, internet y cable -S/.60 - S/.60
Alimentación de cuyes -S/.30 - S/.30
Gas -S/.38 - S/.38
Higiene personal 3 -S/.40 -S/.120
Kit de bioseguridad familiar
Mascarilla de tela 6 -S/.12 -S/.72
Litros de alcohol 4 -S/.8 -S/.36
Litros de lejía 3 -S/.6 -S/.18
Total -S/.824
Respondemos las siguientes preguntas:
-¿A cuánto asciende el ingreso mensual de la familia? …
792..
- ¿Cuánto invierte la familia por el kit de bioseguridad para proteger la salud respiratoria? …126
-¿Cuánto dinero gasta la familia mensualmente? …824
-¿A cuánto asciende el gasto mensual por persona?
………
Recordar
División de números enteros
Regla de signos División de números enteros
a) 40 : 8 = + 5 =+

b) 30 : (-5) = -6 =+
Para dividir números enteros
-Se dividen las cantidades como
c) 60 : (-12) = -5 -= -
si fuera una división normal y se
coloca el signo según la ley de
d) 20 : 5 = =-
signos

e) 24 : (-8) =
A manera de conclusión, respondemos las siguientes preguntas:

• ¿Qué estrategias o procedimientos hemos realizado para elaborar el presupuesto?

• ¿Cómo operan los signos durante la multiplicación con números enteros?, explicamos con ejemplos.

Respuestas:

• a)
…………………………………………………………………………………………………………
………

• b) ……………………………………………………………………………………………
 Reto:

1.- Resolver:

Claudia tiene un sueldo de S/. 350 mensuales. Ella gasta en vestimenta S/.100, en comida S/.50 y en luz
y agua S/.60. ¿Cuánto dinero gasta Claudia mensualmente?
Leemos el siguiente problema

En una familia de Bernal de 3 integrantes, la mamá y el papá ganan mensualmente S/300 cada uno. Y
gastan de la siguiente manera: alimentación S/60 por persona; vestimenta S/40 por persona; en servicios
de agua y luz S/20 y S/50, respectivamente y otros gastos S/. 35. ¿Cuánto dinero gasta la familia
mensualmente?
Descripción Unidades Egreso por Egreso total
Solución: unidad
Se realiza la tabla de egresos
Alimentación 3 -60 -180
Vestimenta 3 -40 -120
Agua -20 -20

Luz -50 -50

Otros -35 -35

Total -405

Respuesta: Los egresos mensuales de la familia son S/ 405

Reto:

1.- Resolver:

Claudia tiene un sueldo de S/. 350 mensuales. Ella gasta en vestimenta S/.100, en comida S/.50 y en luz
y agua S/.60. ¿Cuánto dinero gasta Claudia mensualmente?

Solución

Datos: Lo que gasta Claudia mensualmente , es el dinero que se va

Sueldo S/350 Vestimenta 100 +
Vestimenta S/100 Comida 50
Comida S/50 Luz 60
Luz S/60 210

Respuesta: Claudia gasta mensualmente S/ 210

Resolver:

Vanesa tiene un sueldo de S/. 360 mensuales. Ella gasta en vestimenta S/.80, en comida S/.60 y en luz y
agua S/.40. ¿Cuánto dinero gasta Vanesa mensualmente?

Solución

Datos: Lo que gasta Vanesa mensualmente , es el dinero que se va

Sueldo S/360 Vestimenta 80 +
Vestimenta S/80 Comida 60
Comida S/60 Luz 40
Luz S/40 180

Respuesta: Vanesa gasta mensualmente S/ 180

gathering the data

Resuelve:

To modify this graph, click on it, follow the link, change the data with your own and replace the graph in this slide Progress:
 Descripción Unidades Egreso por unidad Egreso total
42
Alimentación 6 S/.300 S/. 1800

Vestimenta 6 S/.40 S/.240

Agua S/.80 S/.80
Luz S/.100 S/.100
Teléfono, internet y cable S/.120 S/.120
Alimentación de cuyes S/.80 S/.30
Gas S/.38 S/.38
Higiene personal 6 S/.40 S/.240
Kit de bioseguridad familiar
Mascarilla de tela 6 S/.12 S/.72
Litros de alcohol 4 S/.8 S/.36
Litros de lejía 3 S/.6 S/.18
Total S/.2774
utilities for deciphering this math
mystery
SOME
RANDOM HANDY
NOTES
It is important to have NOTEBOOK
Afterwards, put all your
somewhere to write notes in the same place

Talk to my A PRIZE TO
teacher
Your math teachers are
the best! They know it
WIN!
Will you be the first to
decipher the mystery?
all

Progress:
Are you STUCK?

THERE CAN BE
TWO
It’s OK if you PATHS...
have different paths for
solving a math problem. Hooray:
You’re actually on the right track!

BUT ONLY ONE

It may come to youHAS THE
just in the verge
of giving up, so keep trying. You will
find the answerSOLUTION
if you are prepared! Progress:
Steps to understand it
Step #01 Step #03
Ceres is located in the Earth is the planet
asteroid belt where we live on

Step #02 Step #04

Pluto is considered a Saturn is a gas giant
dwarf planet and has rings

Progress:
 Mathematics is not about
numbers, equations,
computations or algorithms: it
is about understanding.
—SOMEONE FAMOUS
We must understand HIS origin

Is HE no, IS HE
american?
The problem asked
finnish?
Yes, definitely Finnish:
about Finnick, not it matches the first
Ana... letter!
Or Or maybe
argentinian?
On second thought,
turkish!
This is tricky because it
Argentina is discarded is in between!

Progress:
 Collecti
03
ng
eviden
ce
Here you can describe the
content of the section
About the data i’ve found
13, 20,
15 45% 55%
15, 18,
Will these be the ages?

15 positive
Earth is the
planet we live on
negative
Pluto is now a
dwarf planet
Or maybe these?
Progress:
Attempts made OVER TIME
1st attempt 2nd attempt 3rd attempt 4th attempt
6, 27, 15 15, 19, 15 13, 21, 15 9, 24, 15

5th attempt 6th attempt 7th attempt 8th attempt

8, 25, 15 10, 23, 15 7, 26, 15 14, 20, 15

9th attempt 10th attempt 11th attempt

Progress:
4, 29, 15 16, 18, 15 5, 28, 15
So
many
solutio
ns!
Which is
the correct
one?
Objects in my investigation
availabilit
item description
y
Knowledge Mercury is the closest planet to the Sun

Reliable pen Venus has actually a very beautiful name

World map Earth is the third planet from the Sun

Victory badge Despite being red, Mars is a cold place

Progress:
Evidence found
REFERENC ANCIENT MODERN
EVIDENCE
E
Ceres is located in the
NOTES
Pluto is considered a Earth is the planet
NOTES
Saturn is a gas giant
asteroid belt dwarf planet where we live on and has rings

Progress:
Let’s see
what we
have
found...
Gathering evidence
Is it female... Or male? School clock
Despite being red, This is the planet Venus is the second
Mars is a cold place where we all live on planet from the Sun

School
magnetism School bell
It was named after the potion
Jupiter is a gas giant Pluto is considered a
Roman god and the biggest dwarf planet

Progress:
Soluti
on 04
found
!
Here you can describe the
content of the section
Have you found the solution on your
computer?

I have not! However, you can

actually change the image on the
screen with your own by replacing it
and uploading a photo from your
own computer! Awesome!

Progress:
Or, maybe, on your tablet?

No way! However, you can actually

change the image on the screen with
your own by replacing it and
uploading a photo from your own
computer! Awesome!

Progress:
Nope, it’s on my phone! Let’s see what
it is!

Hooray! I’m almost there! Bear in

mind that you can change the image
on the screen with your own by
replacing it and uploading a photo
from your own computer!

Progress:
Ana is 11, robin 22
and finnick 15
Yay! And Finnick is from Finland!
THANKS
a lot!
Do you have any questions?

addyouremail@freepik.com
+91 620 421 838
yourcompany.com
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