Please solve this

Question

The Johnson family purchased tickets for a concert. They bought some amount of adult tickets for $4 each and 12 child tickets for $8 each. They paid a total of $104. How many adult tickets did they buy?

Answer 1

Hello, Alexander,

Let A and C represent the number of Adult and Child tickets. We know C = 12, but want to find A.

The total cost, $104, is made up of the number of each class of ticket times the cost for that class:

12*8 + A*4 = 104

[The prices seem inverted - the child's ticket is hgher than an adult?]

96 + 4A = 104

4A = 8

A = 2

2 adult tickets were purchased. See if that works:

Adult = 2*4 = $8

Child = 12*8 = $96

Total = $104

I hope this helps,

Bob

Answer 2

4a + 8(12) = 104 (Where "a" represents the amount of adult tickets)

4a + 96 = 104 (subtract 96 on both sides)

4a = 8 (divide by 4 on both sides)

a = 2

2 adult tickets were purchased