Question

Janet left a bin outside in her garden to collect rainwater. She notices that 1 over 5 gallons of water fills 2 over 3 of the bin. 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

To fill the entire bin, she will need 1/10 gallons of water.

Step-by-step explanation:

To find the amount of water that will fill the entire bin, we need to set up an equation using proportions. If 1/5 gallons of water fills 2/3 of the bin, then x gallons of water will fill the entire bin. The equation is (1/5)/(2/3) = x/1. To solve for x, we can cross multiply and get x = (1/5)*(1/2) = 1/10 gallons.