Question

Eric has 240 coins in his collection. 11/12 of the coins are pennies. 4/20 of the coins are nickels. The rest of the coin are quarters. How many of the coin are quarter?

Answer 1

Answer:

$Quarters=60$

Step-by-step explanation:

Total coin$=240$

Pennies$Pennies=\frac{11}{20}\ of\ total\ coins\\\\Nickels=\frac{4}{20}\ of\ total\ coins\\\\Nickels+Pennies=(\frac{11}{20}+\frac{4}{20})\ of\ total\ coins=\frac{3}{4}\ of\ total\ coins\\\\Quarters=[1-(Nickels+Pennies)]\ of\ total\ coins=[1-\frac{3}{4}]\ of\ total\ coins=\frac{1}{4}\ of\ total\ coins\\\\Quarters=\frac{1}{4}\times 240=60$

Note: Here Pennies are taken $\frac{11}{20}$ instead of $\frac{11}{12}$ as in that case the information given will be irrelevant.

$\frac{11}{12}$ of 240=220

$\frac{4}{20}$ of 240=48

220+48>240