Question

Sara left a bin outside in her garden to collect rainwater. She notices that 1 over 8 gallon 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

\[\frac{ \frac{ 1 }{ 8} gallons } { \frac{ 2 }{ 3 }bin} = \frac{ x gallons }{ 1 bin }\]
Cross Multiply
\[\frac{ 1 }{ 8 } = \frac{ 2 }{ 3 }x\]
Multiply by the reciprocal of 2/3, which is 3/2
\[\frac{ 3 }{ 2 } \times \frac{ 1 }{ 8 } = \frac{ 2 }{ 3 }x \times \frac{ 3 }{ 2 } \]
Simplify
\[\frac{ 3 }{ 16} = x \]
They want us to solve for the amount of gallons that will fill up the bin.

3/16 gallons fills a bin

Answer 2

thanks!