To find the value of the quarters in Amy's collection, we need to follow a step-by-step approach. Let's break it down:
1. We are given that 3/4 of Amy's coin collection is pennies. This means that 1/4 of the collection is not pennies (since 3/4 + 1/4 = 1 whole collection).
2. We are also given that 2/5 of the remaining coins (after removing the pennies) are quarters.
3. Since we know the total number of coins in Amy's collection is 280, we can calculate the number of coins that are not pennies by multiplying 280 by 1/4: 280 * 1/4 = 70 coins.
4. To find the number of quarters, we need to calculate 2/5 of the coins that are not pennies. Multiply 70 by 2/5: 70 * 2/5 = 28 quarters.
5. Finally, to determine the value of the quarters, we need to know the value of one quarter. In the United States, a quarter has a value of $0.25.
6. Multiply the number of quarters (28) by the value of one quarter ($0.25) to find the total value of the quarters: 28 * $0.25 = $7.
Therefore, the value of the quarters in Amy's coin collection is $7.