Question

Clarissa made 65% of her free throws during basketball games last season. Alexis made 58% of her free throws

during basketball games last season. Clarissa and Alexis each attempted f free throws last season. The expression
below can be used to find the percentage of free throws Clarissa and Alexis made together. Write one other
expression that could also be used to find the percentage of free throws both girls made last season.

Answer 1

`\textsf{C.} \quad (65+58)/(2)`

Explanation:

The given expression is:

`100\left((0.65f+0.58f)/(2f)\right)`

Rewrite 100 as ¹⁰⁰/₁ :

`\implies (100)/(1)\cdot \left((0.65f+0.58f)/(2f)\right)`

`\textsf{Apply the fraction rule} \quad (a)/(c)\cdot(b)/(d)=(ab)/(cd):`

`\implies (100(0.65f+0.58f))/(2f)`

Distribute the parentheses:

`\implies (100\cdot 0.65f+100\cdot 0.58f)/(2f)`

`\implies (65f+58f)/(2f)`

Factor out f from the numerator:

`\implies ((65+58)f)/(2f)`

Cancel the common term f:

`\implies (65+58)/(2)`