Question

James left a bin outside in his garden to collect rainwater. He notices that 1 over 4 gallon of water fills 2 over 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.

Answer 1

1/4 gallon
fills 2/3 bin

Answer 2

.25x = 2/3
3*(.25)x = 2
.75x = 2
3/4x = 2

(divide each side by 2)

3/8x = 1
x = 8/3 (gallons)

If that makes sense, then it may be right. Although, I don't care that much (tired) so there's a high chance this answer is wrong.