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Math  /  Numbers & Operations

Question24) Officer White went from writing 16 tickets a week for traffic violations to writing 10 tickets a week? What was the percent decrease? Proportion: \qquad \qquad

Studdy Solution

STEP 1

1. Officer White initially wrote 16 tickets per week.
2. Officer White now writes 10 tickets per week.
3. We need to find the percent decrease in the number of tickets written.

STEP 2

1. Calculate the decrease in the number of tickets.
2. Calculate the percent decrease using the initial number of tickets.

STEP 3

Calculate the decrease in the number of tickets.
Decrease=Initial number of tickets−New number of tickets \text{Decrease} = \text{Initial number of tickets} - \text{New number of tickets} Decrease=16−10=6 \text{Decrease} = 16 - 10 = 6

STEP 4

Calculate the percent decrease using the initial number of tickets.
Percent Decrease=(DecreaseInitial number of tickets)×100% \text{Percent Decrease} = \left( \frac{\text{Decrease}}{\text{Initial number of tickets}} \right) \times 100\%

STEP 5

Substitute the values into the percent decrease formula.
Percent Decrease=(616)×100% \text{Percent Decrease} = \left( \frac{6}{16} \right) \times 100\%

STEP 6

Calculate the percent decrease.
Percent Decrease=(616)×100%=0.375×100%=37.5% \text{Percent Decrease} = \left( \frac{6}{16} \right) \times 100\% = 0.375 \times 100\% = 37.5\%
The percent decrease in the number of tickets written is:
37.5%\boxed{37.5\%}

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