Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour. Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour. How many hours until they have the same amount of fruit left?

72.1 hours

Step-by-step explanation:

Let the number of hours be represented as: x

Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour.

Convert 2 7/8 pounds to decimal = 2.875pounds

Hence:

252 - 2.875x

Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour.

Convert 3 1/3 pounds to decimal = 3.333 pounds

Hence:

285 - 3.333x

How many hours until they have the same amount of fruit left?

This calculated by equating both equation together

252 - 2.875x = 285 - 3.333x

Collect like terms

-2.875x + 3.333x = 285 - 252

0.458x = 33

x = 33 / 0.458

x = 72.052401747 hours

x ≈ 72.1 hours

They would have the same amount of fruit left after 72.1 hours

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step-by-step explanation:

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first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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