Write a system of equations to solve the problem

Question

 A school sells 100 tickets to a play. Adult tickets cost $7 each and child tickets cost $3 each. A total of 100 tickets were sold and the total amount of ticket sales was $532.

   a. Let x represent the number of adults and y represent the number of children. Set up the two relevant equations.

   b. Use either substitution or elimination to solve for the variables.

   c. State your answers in words.

   d. Check your answers.

Answer 1

7A + 3C = 532

A + C = 100 multiply both sides by 3

3A + 3C = 300 subtract from 1st equation to eliminate C

4A = 232 divide by 4

A = 58 adult tickets

C = 100-58= 42 child tickets