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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 :

Poltergeist

Answer:

Ground Morgans are 52% the price of Floating Jumps.

Step-by-step explanation:

A pair of Ground Morgans [tex]GM[/tex] is 20% less expensive than a pair of Elite Butterflies [tex]EB[/tex], this means

[tex]GM= 0.8 EB[/tex] (GM is 80% the price of EB's)

Elite Butterflies [tex]EB[/tex] are 30% more expensive than Cloud Trainers [tex]CT[/tex]'s, this means

[tex]EB =1.3 CT[/tex] (EM's is 130% the price of CT's)

Cloud Trainers [tex]CT[/tex] are 50% less expensive than Floating Jumps [tex]FJ[/tex], this means

[tex]CT=0.5FJ[/tex] (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,

[tex]GM=0.8 (1.3CT)[/tex]

and since CT = 0.5F, we have

[tex]GM = 0.8(1.3(0.5FJ))[/tex].

Simplifying we get

[tex]\boxed{GM =0.52FJ}[/tex]

Ground Morgans are 52% the price of Floating Jumps.

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