Problem

A person has a bag containing dimes and nickels. There are a total of 91 coins in the bag, and the total value of the coins is $6.80.

Determine how many dimes and nickels are in the bag.
There are dimes.

There are nickels.
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Answer

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Answer

So, the final answer is: There are 45 dimes and 46 nickels in the bag.

Steps

Step 1 ：Let's denote the number of dimes as x and the number of nickels as y. We know that a dime is worth 10 cents and a nickel is worth 5 cents.

Step 2 ：We can set up the following two equations based on the information given: x+y=91 (total number of coins) and 10x+5y=680 (total value of coins in cents).

Step 3 ：Solving this system of equations will give us the values of x and y.

Step 4 ：The solution to the system of equations is x=45 and y=46.

Step 5 ：So, the final answer is: There are 45 dimes and 46 nickels in the bag.

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