SOLUTION: If 115 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $1.50 and total receipts for the concert was $206.25, how many of each went to the
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-> SOLUTION: If 115 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $1.50 and total receipts for the concert was $206.25, how many of each went to the
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Question 1077476: If 115 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $1.50 and total receipts for the concert was $206.25, how many of each went to the concert? Answer by ikleyn(52831) (Show Source):
Let "a" be the number of adult.
Then the number of children is (115-a).
The "value" equation is
2.25*a + 1.50*(115-a) = 206.25.
You need to solve it for "a".
Multiply both sides by 1oo and then simplify step by step:
225a + 150*(115-a) = 20625,
225a + 150*115 - 150a = 20625,
75a = 20625 - 150*115 ---> 75a = 3375 ---> a = = 45.
Answer. 45 adults and 115-45 = 70 children.
