Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Question

Jasmine plans to attend the Fulton County Fair and is trying to decide what would be a better deal. She can pay $31 for unlimited rides, or she can pay $16 for admission plus $3 per ride. If Jasmine goes on a certain number of rides, the two options wind up costing her the same amount. How many rides is that? What is that cost?

Can you Pls show me how to do this right and show me all the steps of answering this question? Like tell me how to do it and show me it pls BCE it would really help me. Thank You!!



Answer 1

16 + 3x = 31 is the equation for this setup

Then solve by collecting like terms together

Subtract 16 from both sides,

3x = 31 - 16

3x = 15

Divide by 3 on both sides,

x = 15/3

x = 5

So she will have 5 rides. and the cost will be $31.