Question

Your city is having a sneaker convention! A pair of Ground Morgans is 20% less expensive than a pair of Elite Butterflies, Elite Butterflies are 30% more expensive than Cloud Trainers, and Cloud Trainers are 50% less expensive than Floating Jumps. What percent of the cost of a pair of Floating Jumps is a pair of Ground Morgans?

Answer 1

Ground Morgans are 52% the price of Floating Jumps.

Explanation:

A pair of Ground Morgans
`GM` is 20% less expensive than a pair of Elite Butterflies
`EB`, this means

`GM= 0.8 EB` (GM is 80% the price of EB's)

Elite Butterflies
`EB` are 30% more expensive than Cloud Trainers
`CT`'s, this means

`EB =1.3 CT` (EM's is 130% the price of CT's)

Cloud Trainers
`CT` are 50% less expensive than Floating Jumps
`FJ`, this means

`CT=0.5FJ` (CT is 50% the price of FJ)

Now, if we want the price of Ground Morgans in terms of Floating Jumps, then, since EB = 1.3 CT,

`GM=0.8 (1.3CT)`

and since CT = 0.5F, we have

`GM = 0.8(1.3(0.5FJ))`.

Simplifying we get

`\boxed{GM =0.52FJ}`

Ground Morgans are 52% the price of Floating Jumps.