Question

Which of the following situations would produce the number 3/4?A.) A section of rope is 0.5 feet long. The rope is cut into 6 equal lengths. How long is each section B.) A bucket holds 0.25 gallons of water. The water is poured into 20 equal sized containers and there are 12 ounces left. How much does each of the smaller containers hold? (There are 128 ounces in a gallon.) C.) Peters lawn is 4800 square feet in area, and he mowed 1200 square feet of it. Which fraction of his lawn still needs to be mowed?

Answer 1

We are to calculate for which of the situation will result in 3/4

A.

`(0.5ft)/(6)=0.08333ft`

B.

`\begin{gathered} 1gal=128ounces \\ 0.25gal=x \\ x=128\cdot0.25=32ounces \\ 32ounces\text{ - }12ounces=20ounces \\ (20ounces)/(20)=1ounce\text{/bucket} \\ \end{gathered}`

C.

`\begin{gathered} A(lawn)=4800ft^2 \\ A(mowed)=1200ft^2 \\ (A(mowed))/(A(lawn))=(1200)/(4800)=(1)/(4) \\ A(left\text{ to be }mowed)=1-(1)/(4)=(3)/(4) \end{gathered}`

Option C is the situation that produces the desired result