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Suppose a charity received a donation of $14.7\$14.7 million. If this represents 39%39\% of the charity's donated funds, what is the total amount of its donated funds? Round your answer to the nearest million dollars.

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Full solution

Q. Suppose a charity received a donation of $14.7\$14.7 million. If this represents 39%39\% of the charity's donated funds, what is the total amount of its donated funds? Round your answer to the nearest million dollars.
  1. Understand the problem: Understand the problem.\newlineWe know that $14.7\$14.7 million is 39%39\% of the total donated funds. We need to find the total amount of donated funds.
  2. Set up the equation: Set up the equation.\newlineLet the total amount of donated funds be represented by TT. According to the problem, 39%39\% of TT is equal to $\$1414.77 million. This can be written as:\newline\(0.3939 \times T = $\$1414.77\) million
  3. Solve for T: Solve for T.\newlineTo find TT, we divide both sides of the equation by 0.390.39:\newlineT=$14.7 million0.39T = \frac{\$14.7 \text{ million}}{0.39}
  4. Perform the calculation: Perform the calculation.\newlineT=$14.7 million0.39=$37.6923077 millionT = \frac{\$14.7 \text{ million}}{0.39} = \$37.6923077 \text{ million}
  5. Round the answer: Round the answer to the nearest million dollars.\newlineRounding $37.6923077\$37.6923077 million to the nearest million gives us $38\$38 million.

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