Question
6. In 2020 , summer camp registration was \( \$ 15 \) more than it was in 2021 . In 2020 , registration was \( \$ 285 \). By what percentage did the summer camp registration decrease in 2021 ?
Ask by Wheeler Hobbs. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The summer camp registration decreased by approximately 5.26% in 2021.
Solution
To find the percentage decrease in summer camp registration from 2020 to 2021, we first need to determine the registration cost in 2021.
Given:
- Registration cost in 2020 = $285
- Registration cost in 2021 = $285 - $15 = $270
Now, we can calculate the percentage decrease in registration cost from 2020 to 2021.
Percentage decrease = ((Registration cost in 2020 - Registration cost in 2021) / Registration cost in 2020) * 100
Substitute the values:
Percentage decrease = ((285 - 270) / 285) * 100
Calculate the percentage decrease.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(285-270\right)}{285}\times 100\)
- step1: Remove the parentheses:
\(\frac{285-270}{285}\times 100\)
- step2: Subtract the numbers:
\(\frac{15}{285}\times 100\)
- step3: Reduce the fraction:
\(\frac{1}{19}\times 100\)
- step4: Multiply:
\(\frac{100}{19}\)
The percentage decrease in summer camp registration from 2020 to 2021 is approximately 5.26%.
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Simplify this solution Mind Expander
To find the summer camp registration in 2021, subtract the \( \$ 15 \) increase from the 2020 price of \( \$ 285 \). So, \( 285 - 15 = 270 \). To calculate the percentage decrease from 2020 to 2021, use the formula: \[ \text{Percentage Decrease} = \left( \frac{\text{Old Value} - \text{New Value}}{\text{Old Value}} \right) \times 100 \] Plugging in the values, we get: \[ \text{Percentage Decrease} = \left( \frac{285 - 270}{285} \right) \times 100 \approx 5.26\% \] Thus, the summer camp registration decreased by approximately \( 5.26\% \) in 2021.
