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

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(52835) (Show Source): You can put this solution on YOUR website!
.

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.

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