One hiking club charges $16 to become a member and $3 to participate on each hike. Another club charges no membership fee, but charges $5 to participate on each hike. How many hikes must you go on to make the first club more economical?

Question

Mathematics

Moshe Terry

11 January, 22:05

One hiking club charges $16 to become a member and $3 to participate on each hike. Another club charges no membership fee, but charges $5 to participate on each hike. How many hikes must you go on to make the first club more economical?

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Answers (1)

Know the Answer?

Melina Fitzgerald · Answer 1

x < 8

Step-by-step explanation:

x = # of hikes

3x + 16 = 5x

-3x. - 3x

16=2x

16/2 = 8

2x/2 = x

8=x

x=8

check:

3 (8) + 16 = 5 (8)

24 + 16 = 40

40=40 ✓

there for at 8 hikes with either deal it would be the same but if you went up a number of hikes for the first option it would only be $43.00 spent in total. but with the second option it would be $45.00.