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Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?

a.1/2 wall per gallonB)32/25 walls per gallonC)1 7/25 walls per gallonD)1 3/32 walls per gallon

2 Answers

1 vote
You can easily solve this by setting up a proportion with walls on the top and paint on the bottom. First we can find the decimal equivalent of each of those fractions to make things easier. 5/8 = .625 and 4/5 = .8.
(w)/(p) : (.8)/(.625)= (x)/(1). What this is asking is "if 4/5 (.8) of a wall is covered by 5/8 (.625) of a gallon of paint, how many walls (x) will 1 gallon of paint cover?" If we cross multiply we have .625x = .8 and x = 1.28 which is the same as 1 7/25 walls/1 gallon, choice C.
User Lvolmar
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4 votes

Answer:

A: 32/25 and B: 1 7/25

Explanation:

Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate-example-1
User Jacko
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8.1k points