Suppose a charity received a donation of $21.7 million. If this represents 38% of the charity's donated funds, what is the total amount of its donated funds? Round your answer to the nearest million dollars.

Respuesta :

the total amount of the funds is say "x", therefore, "x" is the 100% of the whole amount.

now, we know that 21.7 million is 38%, what is "x" anyway?

[tex]\bf \begin{array}{ccll} \stackrel{millions}{amount}&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 21.7&38 \end{array}\implies \cfrac{x}{21.7}=\cfrac{100}{38}\implies x=\cfrac{21.7\cdot 100}{3}[/tex]

Total donated fund is 57.1 million

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Consider the total donated fund = x

Received donation = $21.7 million

It represents 38% of the charity's donated fund

Therefore

x ×[tex]\frac{38}{100}[/tex] = 21.7 million

x ×0.38 = 21.7 million

x =[tex]\frac{21.7}{.38} =57.1[/tex] million

Hence, the total donated fund is 57.1 million

Learn more about percentage here

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