Joy donated $53 to one charity and $99 to another. What percentage of her total donations went to the charity receiving $99?

Prepare for the Arithmetic Accuplacer Test. With flashcards and multiple choice questions, each is provided with hints and explanations. Get set to achieve more on your exam!

Multiple Choice

Joy donated $53 to one charity and $99 to another. What percentage of her total donations went to the charity receiving $99?

Explanation:
To determine what percentage of Joy's total donations went to the charity that received $99, first calculate her total donations. She donated $53 to one charity and $99 to another. The total amount donated is the sum of these two amounts: \[ 53 + 99 = 152 \] So, Joy's total donations amount to $152. Next, to find the percentage of her total donations that went to the charity receiving $99, use the formula for percentage: \[ \text{Percentage} = \left( \frac{\text{Amount donated to the charity}}{\text{Total donations}} \right) \times 100 \] Substituting the known values: \[ \text{Percentage} = \left( \frac{99}{152} \right) \times 100 \] Now calculate the fraction: \[ \frac{99}{152} \approx 0.651315 \] Multiplying by 100 to convert this decimal into a percentage gives: \[ 0.651315 \times 100 \approx 65.13\% \] When rounding this, it is commonly rounded down to the nearest significant figure, typically to 65%.

To determine what percentage of Joy's total donations went to the charity that received $99, first calculate her total donations. She donated $53 to one charity and $99 to another.

The total amount donated is the sum of these two amounts:

[

53 + 99 = 152

]

So, Joy's total donations amount to $152.

Next, to find the percentage of her total donations that went to the charity receiving $99, use the formula for percentage:

[

\text{Percentage} = \left( \frac{\text{Amount donated to the charity}}{\text{Total donations}} \right) \times 100

]

Substituting the known values:

[

\text{Percentage} = \left( \frac{99}{152} \right) \times 100

]

Now calculate the fraction:

[

\frac{99}{152} \approx 0.651315

]

Multiplying by 100 to convert this decimal into a percentage gives:

[

0.651315 \times 100 \approx 65.13%

]

When rounding this, it is commonly rounded down to the nearest significant figure, typically to 65%.

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