Final answer:
To find the ratio of Grace's nickels to dimes to quarters, we can calculate the number of coins in each category and express it as a ratio. The ratio of Grace's nickels to dimes to quarters is 4:10:8.
Step-by-step explanation:
To find the ratio of Grace's nickels to dimes to quarters, we need to determine the number of coins in each category. We know that 2/11 of her coins are nickels and 5/11 are dimes, so we can calculate:
Number of nickels = (2/11) * 88 = 16
Number of dimes = (5/11) * 88 = 40
The remaining coins must be quarters. To find the number of quarters, we subtract the number of nickels and dimes from the total number of coins:
Number of quarters = 88 - (16 + 40) = 32
So, the ratio of Grace's nickels to dimes to quarters is:
Nickels : Dimes : Quarters = 16 : 40 : 32 = 4 : 10 : 8