SOLUTION: a gathering of 600 people for a children's concert generated $4000 in revenue from the sale of tickets in which each adult was charged $7 and each child was charged $5 each. How ma
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Question 1196502: a gathering of 600 people for a children's concert generated $4000 in revenue from the sale of tickets in which each adult was charged $7 and each child was charged $5 each. How many children were there? Answer by ikleyn(52790) (Show Source):
You can put this solution on YOUR website! .
a gathering of 600 people for a children's concert generated $4000 in revenue
from the sale of tickets in which each adult was charged $7 and each child
was charged $5 each. How many children were there?
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x = the number of children
600-x = the number of adults.
Write the revenue equation (total money collected)
5x + 7*(600-x) = 4000 dollars.
Simplify and find x
5x + 4200 - 7x = 4000
5x - 7x = 4000 - 4200
-2x = -200
x = = 100.
ANSWER. 100 children.
CHECK. 100*5 + 7*(600-100) = 500 + 3500 = 4000 dollars total, confirming the answer.
