MATH SOLVE

8 months ago

Q:
# 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.

Accepted Solution

A:

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]

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]