Question

for every fruit 8 fruit cups that maria makes, she uses one and one fourth cups of blueberries. If she uses 5 cups of blueberries, how many fruit cups can she make?

Answer 1

To determine how many fruit cups Maria can make with 5 cups of blueberries, we first need to find out how many blueberries are used for each fruit cup.

Maria uses 1 and 1/4 cups of blueberries for every 8 fruit cups. We convert 1 and 1/4 to an improper fraction:

\[
1 \frac{1}{4} = \frac{5}{4} \text{ cups of blueberries}
\]

This amount is used for 8 fruit cups. To find out how many blueberries are used for 1 fruit cup, we divide \(\frac{5}{4}\) by 8:

\[
\text{Blueberries per fruit cup} = \frac{5/4}{8} = \frac{5/4}{8/1} = \frac{5}{4} \times \frac{1}{8} = \frac{5}{32} \text{ cups of blueberries}
\]

Now, we know that each fruit cup requires \(\frac{5}{32}\) cups of blueberries. Next, we need to find out how many fruit cups can be made with 5 cups of blueberries. We divide the total amount of blueberries (5 cups) by the amount needed for one fruit cup:

\[
\text{Number of fruit cups} = \frac{5}{5/32} = 5 \times \frac{32}{5} = 32
\]

Thus, Maria can make **32 fruit cups** with 5 cups of blueberries.