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?
1 answer:
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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