SOLUTION: Admission tickets to a theater were P60 for adults and P25 for children. Receipts for the day showed that 280 persons attended and P14,000 were collected. How many children attende

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Question 1149364: Admission tickets to a theater were P60 for adults and P25 for children. Receipts for the day showed that 280 persons attended and P14,000 were collected. How many children attended that day?
Found 2 solutions by josgarithmetic, rothauserc:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
y=280-c
c, the quantity of children
25c%2B60%28280-c%29=14000
Solve for c.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the number of adults and y be the number of children
:
(1) x + y = 280
:
(2) P60x + P25y = P14,000
:
solve equation 1 for x and subsitute in equation 2
:
x = 280 - y
:
P60(280 - y) +P25y = P14,000
:
P16,800 - P60y + p25y = P14,000
:
P2,800 -P35y = 0
:
p35y = P2,800
:
y = P2,800/P35 = 80
:
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80 children attended that day
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