Question

Tickets were sold at a school play. Adult tickets cost $4 and child tickets cost $2. They sold 930 tickets that day and they took in $2670. Write and solve a system of equations to represent the situation.

Answer 1

see explanation

Explanation:

Let a represent adults and c children, then

a + c = 930 → (1)

4a + 2c = 2670 → (2)

Multiply (1) by - 2 to eliminate the term in c when added to (2)

- 2a - 2c = - 1860 → (3)

Add (2) and (3) term by term

2a = 810 ( divide both sides by 2 )

a = 405

Substitute a = 405 into (1) and solve for c

405 + c = 930 ( subtract 405 from both sides )

c = 525

That is 405 adult and 525 children's tickets were sold