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Vladimir79 [104]
3 years ago
10

Un grupo de compañeros de clase está planificando un viaje de cada uno de ellos hicieron aportación de 14 pesos para gastos de v

iaje le faltaría cuatro pesos pero si cada uno de ellos hicieron una contribución de seis pesos obtendría seis pesos más de lo que necesitan ¿cuánto debería consumir cada alumno para obtener la cantidad exacta del viaje?
Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

$14.8

Step-by-step explanation:

There is a mistype in the question. It should say: ... <em>si cada uno de ellos hicieron una contribución de </em><em>dieciseis</em><em> pesos...</em>

So if everybody contributes $14, they make a total of 14*x, where x denotes the number of students. In this scenario, $4 are left, calling y to the cost of the trip, then:

14*x = y - 4 (eq. 1)

In the other scenario, everybody contributes $16 and $6 are in excess, so

16*x = y + 6 (eq. 2)

subtracting eq. 1 to eq. 2:

16*x - 14*x = y + 6 - (y - 4)

2*x =  y + 6 - y + 4

2*x = 10

x = 10/2 = 5

Replacing this value in eq. 1:

14*5 = y - 4

70 + 4 = y

y = $74

If every student pays: 74/5 =  $14.8, then they would get altogether the exact cost of the trip

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