Justin spends $21.75 on 6 rides and three sodas for his friends. Jerry spends $39.50 on 10 rides and 6 sodas for his friends. How much does one ride cost? How much does one soda cost?

2 dollars a ride

3.25 dollars a drink

R = rides

S = sodas

6R + 3S = $21.75 - > - 12R - 6S = - 43.5

10R + 6S = $39.50->10R + 6S = 39.5

Multiplying Justin’s whole equation by - 2 will bring out the 6S’, so we can focus on the cost of one ride.

-2R = - 4

Divide both sides by - 2

So for one ride, it would cost $2.

To find the cost for one soda, we plug in the cost for a ride.

6 (2) + 3S = $21.75

12 + 3S = $21.75

3S = $9.75

So for one soda, it would cost $3.25.