Multiple choice

Anita created a batch of green paint by mixing 2 ounces of blue paint with 3 ounces of yellow paint. She must mix a second batch using the same ratio of blue and yellow paint as the first batch. If she uses 5 ounces of blue paint for the second batch, how much yellow paint should Anita use?

  1. Exactly 5 ounces

  2. 3 ounces more than the amount of yellow paint used in the first batch

  3. 2.5 times the amount of yellow paint used in the first batch

  4. 2.5 times the amount of blue paint used in the second batch
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio of blue to yellow is 2:3. For 5 ounces of blue, the amount of yellow is (3/2) * 5 = 7.5 ounces. Comparing 7.5 to the original 3 ounces: 7.5 = 2.5 * 3.

AI explanation

To maintain the same ratio of blue to yellow paint, we set up the proportion 2/3 = 5/x, where x is the amount of yellow paint needed. Solving for x gives 7.5 ounces of yellow paint. Comparing this 7.5 ounces to the 3 ounces used in the first batch, we see that 7.5 is exactly 2.5 times 3.

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