shylas research shows that 8 empty cans make $\frac{1}{4}$ pound of aluminum. shyla wants to know how many…
shylas research shows that 8 empty cans make $\frac{1}{4}$ pound of aluminum. shyla wants to know how many cans it takes to make 5 pounds of aluminum. how many cans are there per pound of aluminum? can(s) per pound of aluminum
Answer
Explanation:
Step1: Set up the proportion
We know that 8 cans make $\frac{1}{4}$ pound of aluminum. Let $x$ be the number of cans per pound. The proportion is $\frac{8}{\frac{1}{4}}=\frac{x}{1}$.
Step2: Solve the proportion
Cross - multiply: $x\times\frac{1}{4}=8\times1$. Then $x = 8\div\frac{1}{4}$. Using the rule of dividing by a fraction ($a\div\frac{b}{c}=a\times\frac{c}{b}$), we have $x = 8\times4=32$.
Answer:
32