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Math  /  Algebra

QuestionSuppose a charity recievet a danation of 22. it villion. If this represents 278 d of the charitys doarted funds, what is totol amom Rits denated funds?

Studdy Solution

STEP 1

1. The donation of 2222 million represents 278%278\% of the charity's total donated funds.
2. We need to find the total amount of the charity's donated funds, which we'll denote as xx.
3. The relationship between the donation and the total donated funds can be expressed as a percentage equation.

STEP 2

1. Express the given information in terms of an equation involving the total donated funds.
2. Solve the equation to find the total amount of donated funds.

STEP 3

Express the relationship between the donation and the total donated funds using the given percentage.
Let the total donated funds be xx million. We know that 278%278\% of xx equals 2222 million.
278%×x=22 million 278\% \times x = 22 \text{ million}
Convert the percentage to a decimal form.
2.78×x=22 2.78 \times x = 22

STEP 4

Solve the equation for xx.
x=222.78 x = \frac{22}{2.78}

STEP 5

Calculate the value of xx.
x=222.78≈7.91 x = \frac{22}{2.78} \approx 7.91

STEP 6

The total amount of the charity's donated funds is approximately 7.917.91 million.
Solution: The total amount of the charity's donated funds is approximately 7.917.91 million.

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