a painter used 1 1/2 gallons of paint to paint 3/4 of a room. at this same rate, how many gallons will it…
a painter used 1 1/2 gallons of paint to paint 3/4 of a room. at this same rate, how many gallons will it take to paint the whole room?
Answer
Explanation:
Step1: Convert mixed number to improper fraction
$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$
Step2: Set up proportion
Let $x$ be the gallons of paint for the whole room. We have $\frac{\frac{3}{2}}{\frac{3}{4}}=\frac{x}{1}$
Step3: Cross - multiply and solve for $x$
Cross - multiplying gives $\frac{3}{4}x=\frac{3}{2}\times1$ Multiply both sides by $\frac{4}{3}$: $x=\frac{3}{2}\times\frac{4}{3}$ $x = 2$
Answer:
$2$