SOLUTION: The Jurassic Zoo charges ​$7 for each adult admission and ​$4 for each child. The total bill for the 101 people from a school trip was ​$491.00 How many a

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Question 1056684: The Jurassic Zoo charges
​$7 for each adult admission and ​$4
for each child. The total bill for the 101
people from a school trip was ​$491.00
How many adults and how many children went to the​ zoo?  

Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
Make adults = x
Children = y
x + y = 101 .......(1)
7x + 4y = 491......(2)
Multiply Eq(1) by 4
4x + 4y = 404.......(1)
7x + 4y = 491.......(2)
Subtract Eq(1) from Eq(2)
3x = 87
x = 29
Substitute x = 29 into Eq(1)
x + y = 101
29 + y = 101
y = 101 - 29
y = 72
29 Adults and 72 children went to the zoo.
Hope this helps :-)

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