Please help Me asap

Question

Tickets for a baseball game were $2.50 for general admission and 50 cents for kids. If there were six times as many general admissions sold as there were kids' tickets, and total receipts were $7750, how many kids tickets were sold?

Answer 1

Hi! This looks like a systems of equations problem at first, but it actually is not!

Let's first label the number of kid's tickets sold as "x". The word problems states that 6 times as many general admission tickets were sold than kids tickets. We can represent this as "6x."

Kid's tickets cost 50 cents, and there are "x" of them. This can be represented as .5x.

General admissions cost $2.50 and there are "6x" of them. This can be represented as 2.5(6x)

The equation below represents our situation:

.5x + 2.5 (6x) = 7750

.5x + 15x = 7750

15.5x = 7750

x = 500

Using this, can you determine how many ticket are sold for kids and how many are sold for general admission?