Question

Thor made 45 gallons of of punch. The recipe he followed called for 7/9 of the punch to be orange juice. How many gallons of orange juice did Thor use to make the punch

Answer 1

Answer: 35 gallons

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Work Shown:

x = orange juice amount

x = (7/9)*(total amount of juice)

x = (7/9)*45

x = (7/9)*(45/1)

x = (7*45)/(9*1)

x = 315/9

x = 35 gallons of orange juice

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Another way to approach the problem:

Draw a rectangle and split it into 9 equal slips. If the whole rectangle's area is 45 square units, then each little skinny rectangle is 45/9 = 5 square units.

Shade in exactly 7 of these little rectangular slips. The shaded portion represents 7*5 = 35 square units, which corresponds to the answer of 35 gallons.