Final answer:
To find the ratio of bills to coins in Carter's pocket, divide the number of bills by the number of coins. The ratio of bills to coins is 8:9.
Step-by-step explanation:
To find the ratio of bills to coins in Carter's pocket, we need to divide the number of bills by the number of coins. Carter has 24 dollar bills and a total of 10 dimes (which are 10 cents) and 8 quarters (which are 25 cents each). To convert the dimes to dollars, we divide the number of dimes by 10. So, Carter has a total of 24 dollars + (10 dimes / 10) dollars + (8 quarters * 25 cents / 100 cents) dollars = 24 + 1 + 2 = 27 dollars. Therefore, the ratio of bills to coins is 24:27, which can be simplified to 8:9.