Question

A youth organization collected nickels and dimes for a charity drive. By the end of the 1-day drive, the youth had collected $42.35. If there were three times as many dimes as nickels, how many of each type of coin was collected?

Answer 1

We have the following:

$0.05\cdot n+ 0.10\cdot d= 42.35$

now, d = 3*n, therefore:

$\begin{gathered} 0.05\cdot n+ 0.10\cdot(3n)= 42.35 \\ 0.05n+0.3n=42.35 \\ n=\frac{42.35}{0.35} \\ n=121 \end{gathered}$

therefore:

$\begin{gathered} d=3\cdot121 \\ d=363 \end{gathered}$

The answer is 121 nickels and 363 dimes