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James left a bin outside in his garden to collect rainwater. He notices that 1/4 gallons of water fills 2/3 of the bin. Write and solve an expression to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

(100 POINTS!!!!)

User Irshad
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2 Answers

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7 votes

Let the total gallons be x

  • 1/4=2/3x

Multiply 3 to complete whole bin

  • 3/4=2/3(3)x
  • 3/4=2x
  • x=3/8gallons
User Akway
by
2.7k points
15 votes
15 votes

Answer:

3/8 gallons

Explanation:

Let T be the total amount of water which can fill the bin.

The equation formed will be :

  • 2/3 × T = 1/4 gallons

Now, multiply each side by 3 :

  • 3 × 2/3 × T = 1/4 × 3
  • 2T = 3/4

Divide each side by 2 :

  • 2T/2 = 3/4 x 1/2
  • T = 3/8 gallons
User AndreyP
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3.2k points