Question

at the craft store, ashley bought a bag of purple and yellow marbles. she received 16 marbles in all, 8 of the marbles were purple. what percentage of the marbles were purple? write your answer using a percent sign (%)

Explanation:

Step1: Calculate the proportion

The formula for calculating the percentage is $\frac{\text{number of purple marbles}}{\text{total number of marbles}}\times100\%$. Here, the number of purple marbles is $8$, and the total number of marbles is $16$. So the proportion is $\frac{8}{16}$.

Step2: Simplify the fraction and calculate the percentage

Simplify $\frac{8}{16}$ to $\frac{1}{2}$. Then calculate $\frac{1}{2}\times100\% = 50\%$.

Answer:

$50\%$