Question

Nancy needs 8pqr oranges to make a glass of orange juice. If Nancy has $30p^3{q}^{2}r$ oranges, how many glasses of orange juice can she make?

• A. (15/4)q²p
• B. (15/4)p²q
• C. (15/2)p²r
• D. (15/2)pq

Answer 1

The correct option is B

(15/4)p²q

Total number of oranges $=30p^3{q}^{2}r$

She needs 8pqr oranges to make a glass of orange juice.

To find how many glasses of orange juice Nancy can make, divide the total number of oranges by the number of oranges needed for each glass of orange juice.

Divide $30p^3{q}^{2}r$ by 8pqr

$30p^3{q}^{2}r÷8pqr=\frac{30p^3{q}^{2}r}{8pqr}=\frac{30}{8}\times \frac{p^3}{p}\times \frac{q^2}{q}\times \frac{r}{r}=\frac{15}{4}{p}^{2}q$

Therefore, Nancy can make $\frac{15}{4}{p}^{2}q$ glasses of orange juice.