Q36. - Algebra 1

Question

Emily made 75% of the baskets that she attempted. If she made 9 baskets, how many attempts did she make?

Step-by-Step Solution

Answer

Total number of attempts made by Emily is 12.

Step 1. Let x and y be the number of the actual and total number of baskets that she attempted.

$\begin{array}{l}x=9\\ \text{Percent}=75\%\end{array}$

Step 2. Formula used.

In order to find, a number, x is how many percent of another number y, use the below formula:

$x\text{ is percent of }y=\frac{x\times 100}{y}\%$

Step 2. Calculate the total number of attempts of basket made by Emily.

To find 9 is 75% of what number, substitute 9 for x and equate the above formula to 75 and solve further for y as shown below:

$\begin{array}{c}\frac{9\times 100}{y}\%=75\%\\ 900=75y\\ y=\frac{900}{75}\\ y=12\end{array}$

Therefore, Emily made a total of 12 attempts.