Question

Gizmo is gearing up to run a race. In order to train properly, he is going to join a running club. Paws on Pavement charges a membership fee of $50 plus $10 per month to train. Mutt Movement charges a membership fee of $20 plus a monthly fee of $20 to train. Write and solve an equation that shows how many months Gizmo would have to train in order for the two running clubs to cost the same.

a. 50 + 10x = 20 + 20x
b. 50 + 20x = 20 + 10x
c. 50 + 10x = 20 + 10x
d. 50 + 20x = 20 + 20x

Answer 1

To find the number of months Gizmo would have to train for the two running clubs to cost the same, we need to equate the total cost equations for Paws on Pavement and Mutt Movement: 50 + 10x = 20 + 20x. Simplifying the equation, we find that Gizmo would have to train for 3 months for the two running clubs to cost the same.

Step-by-step explanation:

To write an equation that shows how many months Gizmo would have to train in order for Paws on Pavement and Mutt Movement to cost the same, we need to equate the total cost equations for both running clubs.

For Paws on Pavement, the total cost equation is y = 50 + 10x, where y represents the total cost and x represents the number of months.

For Mutt Movement, the total cost equation is y = 20 + 20x.

Setting the two equations equal to each other, we get 50 + 10x = 20 + 20x.

Simplifying the equation, we get 50 = 20 + 10x.

Subtracting 20 from both sides, we get 30 = 10x.

Dividing both sides by 10, we get 3 = x.

Therefore, Gizmo would have to train for 3 months for the two running clubs to cost the same.