Solve the problem by translating it into an equation.

Molly spent twice as many hours as Peyton in a hot air balloon. She spent 46 hours fewer than Kurt. The total for all three balloonists was 246 hours. How long did Kurt spend in the balloon?

96 hours

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Step-by-step explanation:

Let;

Molly = M

Peyton = P

Kurt = K

M spent twice as many hours as Peyton (M=2P). She (Peyton) spent 46 hours fewer than Kurt. (P=K-46). The total for all three balloonists was 246 hours (M+P+K=246 hours). How long did Kurt spend in the balloon? (K=?)

M=2P

P=K-46

K=?

M+P+K=246

So, now we replace P for our value above.

Distribute 2.

Solve;

Add 138 on both sides to isolate 4K.

Divide by 4 to isolate K.

Therefore, Kurt was 96 hours in the balloon.

4

step-by-step explanation:

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