Question

Tickets for Adults were $14.50 and tickets for Children were $9.00. We purchased 12 tickets and spent a total of $135.50 to get into the aquarium. How many adult tickets and student tickets did we purchase?

Answer 1

children tickets = 7

adult tickets = 5

a+c=135.5

14.5+c=135.5

14.5x7=72.5

135.5-72.5= 63

c=63

Answer 2

(5 , 7)

Explanation:

let a = the number of adult tickets

let c = the number of children tickets

then we have to solve the following system

a + c = 12

14.5a + 9c = 135.5

we proceed by Substitution:

c = 12 - a

14.5a + 9c = 135.5

After some calculations we find

a=5 and c=7