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Math  /  Numbers & Operations

QuestionCoretta's bowling average decreased from 158 to 133. What is the percent decrease to the nearest tenth of a percent?

Studdy Solution

STEP 1

1. Coretta's initial bowling average was 158 158 .
2. Coretta's new bowling average is 133 133 .
3. We need to find the percent decrease in her average.

STEP 2

1. Calculate the decrease in the bowling average.
2. Determine the percent decrease.
3. Round the percent decrease to the nearest tenth of a percent.

STEP 3

Calculate the decrease in Coretta's bowling average by subtracting the new average from the initial average.
Decrease=158−133 \text{Decrease} = 158 - 133

STEP 4

Perform the subtraction to find the decrease.
Decrease=158−133=25 \text{Decrease} = 158 - 133 = 25

STEP 5

Calculate the percent decrease using the formula:
Percent Decrease=(DecreaseInitial Average)×100 \text{Percent Decrease} = \left( \frac{\text{Decrease}}{\text{Initial Average}} \right) \times 100
Substitute the known values:
Percent Decrease=(25158)×100 \text{Percent Decrease} = \left( \frac{25}{158} \right) \times 100

STEP 6

Perform the division and multiplication to find the percent decrease.
Percent Decrease=(25158)×100≈15.8228 \text{Percent Decrease} = \left( \frac{25}{158} \right) \times 100 \approx 15.8228

STEP 7

Round the percent decrease to the nearest tenth of a percent.
Percent Decrease≈15.8% \text{Percent Decrease} \approx 15.8\%
The percent decrease in Coretta's bowling average is:
15.8%\boxed{15.8\%}

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