Question

Macy wants to join a Rock-Climbing gym. Avery's gym has an initial cost of $50 with a $10 per session charge. Gabe's gym has no initial cost, but has a $12 per session charge. How many sessions will she have to take to make both gym's cost the same?​

Answer 1

Answer: We can start by setting the cost of the two gyms equal to each other and then solving for the number of sessions. Let's call the number of sessions Macy takes x. The cost of Avery's gym is 50 + 10x, and the cost of Gabe's gym is 12x. Setting these two equal to each other, we have:

50 + 10x = 12x

Subtracting 12x from both sides:

50 = -2x + 10x

Simplifying:

50 = 8x

Dividing both sides by 8:

x = 6.25

So, Macy would need to take 6.25 sessions for the cost of both gyms to be the same. However, since she can only take whole number of sessions, she would need to take 7 sessions to make both gyms cost the same.

Explanation:

Answer 2

Answer: 25 sessions

Explanation:

Set up an equation.

50+10x=12x

50=2x

x=25

She will have to take 25 sessions for both gym costs to be the same.

You can check this too. 50 plus 10*25 is $300, and 12*25 is $300.

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Hope this helps.

MM4343