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

Answer:

Ground Morgans are 52% the price of Floating Jumps.

Step-by-step 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.