Question

q. a mechanic has a radiator hose that measures 32 feet long. it needs to be cut into pieces equaling 5 feet 3 inches. how many whole pieces can it be cut into?
a. 4 pieces
b. 6 pieces
c. 7 pieces
d. 8 pieces

Explanation:

Step1: Convert 5 feet 3 inches to feet

Since 1 foot = 12 inches, 3 inches = $\frac{3}{12}=0.25$ feet. So 5 feet 3 inches = $5 + 0.25=5.25$ feet.

Step2: Divide the total length by the length of each piece

We have the total length of the hose as 32 feet. The number of pieces $n=\frac{32}{5.25}=\frac{32}{\frac{21}{4}}=32\times\frac{4}{21}=\frac{128}{21}\approx6.095$

Answer:

B. 6 pieces