Question

Nancy left a bin outside in her garden to collect rainwater. She notices that 1/2 gallon of water fills 2/3 of the bun. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

Answer 1

Answer:

¾

Step-by-step explanation:

Let,

Amount od water that will be filled in the entire bin = a

Then,

Equation = 1/2 = 2a/3

1/2 = 2a/3

1/2 × 3/2 = a

3/4 = a

Hence,

3/4 is the correct answer

Answer 2

Answer:

• 3/4 gallons

Step-by-step explanation:

Let the capacity of the bin is x gallons.

1/2 gallon is 2/3 of x

Convert this into equation and solve for x:

• 1/2 = 2/3x
• x = 1/2 : 2/3
• x = 1/2 * 3/2
• x = 3/4

3/4 gallons of water will fill the bin