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Evgen [1.6K]
3 years ago
10

El día del estreno de una película se vendieron 600 entradas y se recaudaron 196 250 soles. Si los adultos pagaban 400 soles. y

los niños 150 soles. ¿cuantos niños y adultos hay?
Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Por medio de sistema de ecuaciones:

*adultos (a) = $400

*niños (b) = $150

total de entradas : a + b = 600 ecua 1

dinero recaudado:

400a + 150b = 196 250 ecua 2

operamos:

a + b = 600 ecua 1

400a + 150b = 196 250 ecua 2

--------------------------

(-150) a + b = 600

400a + 150b = 196 250

-----------------------

- 150a - 150b = -90 000

400a + 150b = 196 250

-----------------------

250a = 106 250

a = 106 250/250

a = 425 adultos

a + b = 600

425+b =600

b = 600-425

b = 175 niños

comprobacion:

400a + 150b = 196 250

400(425)+150(175)=196 250

170 000 + 26 250 = 196 250

196 250 = 196 250

si tienes dudas pregunta

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