Question

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!!!!)

Answer 1

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

Answer 2

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