SOLUTION: The Jurassic Zoo charges ​$8 for each adult admission and ​$3 for each child. The total bill for the 72 people from a school trip was ​$316. How many adults and h

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The Jurassic Zoo charges ​$8 for each adult admission and ​$3 for each child. The total bill for the 72 people from a school trip was ​$316. How many adults and h      Log On


   

Question 1047618: The Jurassic Zoo charges ​$8 for each adult admission and ​$3 for each child. The total bill for the 72 people from a school trip was ​$316. How many adults and how many children went to the​ zoo? Please show work and thanks in advance
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of adults who went to zoo
Let +b+ = number of children who went to zoo
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(1) +a+%2B+b+=+72+
(2) +8a+%2B+3b++=+316+
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Multiply both sides of (1) by +3+
and subtract (1) from (2)
(2) +8a+%2B+3b++=+316+
(1) +-3a+-+3b+=+-216+
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+5a+=+100+
+a+=+20+
and
(1) +a+%2B+b+=+72+
(1) +20+%2B+b+=+72+
(1) +b+=+52+
There were 20 adults and 52 children
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check:
(2) +8a+%2B+3b++=+316+
(2) +8%2A20+%2B+3%2A52++=+316+
(2) +160+%2B+156+=+316+
(2) +316+=+316+
OK

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The Jurassic Zoo charges $8 for each adult admission and $3 for each child. The total bill for the 72 people from a school trip was $316. How many adults and how many children went to the zoo? Please show work and thanks in advance
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A + C = 72
8A + 3C = 316
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