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There is a jar of nickels and dimes on a counter. there are 40 coins in the jar; when counted, they have a total value of $3.10. how many nickels are in the jar? 18 22 19 21

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Final answer:

To find the number of nickels in the jar, we can set up a system of equations using the total number of coins and the total value of the coins. Solving this system, we find that there are 19 nickels in the jar.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let x be the number of nickels and y be the number of dimes. We know there are 40 coins in total, so we have the equation x + y = 40. We also know that the value of the coins is $3.10, which can be represented as 0.05x + 0.1y = 3.10. Solving this system of equations, we can find that there are 19 nickels in the jar. Therefore, the answer is 19.

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