Irving has 10% as many quarters as nickels. If Irving has $5.25 in quarters and nickels, how many nickels does he have?
x = nickels ( 0.05 Cent)
y = quarters(0.25 Cent)
\(\small{ \begin{array}{rcll} $ 5.25 &=& $0.25 y + $0.05 x \qquad & | \qquad y = 10 \% \cdot x\\ $ 5.25 &=& $0.25 \cdot ( 10 \% \cdot x ) + $0.05 x \\ $ 5.25 &=& $0.25 \cdot ( \frac{10}{100} \cdot x ) + $0.05 x \\ $ 5.25 &=& \frac{$0.25 \cdot10}{100} x + $0.05 x \\ $ 5.25 &=& $0.025 x + $0.05 x \\ $ 5.25 &=& $0.075 x \\ $0.075 x &=& $ 5.25 \\ x &=& \frac{$5.25}{ $0.075 }\\ x &=& 70 \end{array} }\)
He has 70 Nickels and 7 Quarters.
70 * 0.05 + 7 * 0.25 = $5.25
