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3. there are 25 marbles in the box. there are 10 red marbles, 8 blue ma…

Question

  1. there are 25 marbles in the box. there are 10 red marbles, 8 blue marbles, and 7 yellow marbles. what percent, p, of the marbles are not yellow? use proportions to determine your answer. show your work. red is 25 percent of 25 blue is 2 percent of 25 yellow is 1.75 percent of 25

Explanation:

Step1: Find number of non - yellow marbles

Total marbles = 25, yellow marbles = 7. So non - yellow marbles = 25 - 7 = 18.

Step2: Set up proportion for percentage

Let \( p \) be the percentage of non - yellow marbles. The proportion is \(\frac{18}{25}=\frac{p}{100}\) (since percentage is out of 100).

Step3: Solve for \( p \)

Cross - multiply: \( 25p=18\times100 \). Then \( 25p = 1800 \). Divide both sides by 25: \( p=\frac{1800}{25}=72 \).

Answer:

72%