Question

1. higher order thinking eric has 240 coins in his collection. \\(\frac{11}{20}\\) of the coins are pennies. \\(\frac{4}{20}\\) of the coins are nickels. the rest of the coins are quarters. how many of the coins are quarters? explain how you found your answer.

Explanation:

Step1: Find the fraction of quarters

First, we know the total fraction of coins should be 1 (or $\frac{20}{20}$). The fraction of pennies is $\frac{11}{20}$ and the fraction of nickels is $\frac{4}{20}$. So we subtract the sum of these two fractions from 1 to find the fraction of quarters.
The sum of pennies and nickels fractions: $\frac{11}{20}+\frac{4}{20}=\frac{11 + 4}{20}=\frac{15}{20}$
Then the fraction of quarters: $1-\frac{15}{20}=\frac{20}{20}-\frac{15}{20}=\frac{5}{20}=\frac{1}{4}$

Step2: Calculate the number of quarters

We know the total number of coins is 240. To find the number of quarters, we multiply the total number of coins by the fraction of quarters.
Number of quarters: $240\times\frac{1}{4}=\frac{240}{4} = 60$

Answer:

The number of quarters is 60.