the price of dried apricots is $4 for every $\frac{2}{3}$ pound. what is the price per pound of the dried…
the price of dried apricots is $4 for every $\frac{2}{3}$ pound. what is the price per pound of the dried apricots? $ per lb
Answer
Explanation:
Step1: Set up the unit - rate calculation
Let $x$ be the price per pound. We know that $4$ dollars is the price for $\frac{2}{3}$ pound. So the proportion is $\frac{4}{\frac{2}{3}}=x$.
Step2: Divide by a fraction (multiply by its reciprocal)
Dividing by $\frac{2}{3}$ is the same as multiplying by $\frac{3}{2}$. So $x = 4\times\frac{3}{2}$.
Step3: Calculate the result
$4\times\frac{3}{2}=\frac{4\times3}{2}=\frac{12}{2}=6$.
Answer:
6