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Jim has 44 nickels and dimes. The total amount of money is $2.95. How many nickels does he have?

User Jeel Shah
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1 Answer

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Final answer:

To find out how many nickels Jim has among his 44 nickels and dimes that total $2.95, we solve a system of equations. After setting the equations up and solving them, we find that Jim has 29 nickels.

Step-by-step explanation:

Jim has a total of 44 nickels and dimes worth $2.95. To determine how many nickels he has, we can set up a system of equations using the given information. We denote the number of nickels as n and the number of dimes as d. The value of a nickel is 5 cents, and the value of a dime is 10 cents.

From the problem, we have two equations:

  1. n + d = 44 (total number of coins)
  2. 5n + 10d = 295 (total value in cents)

To solve the system, we can multiply the first equation by 5, which gives us:

5n + 5d = 220 5n + 10d = 295

Subtracting the first equation from the second, we get:

5d = 75

Dividing by 5, we find that:

d = 15

Substituting the value of d back into equation 1:

n + 15 = 44

n = 44 - 15

n = 29

Therefore, Jim has 29 nickels.

User AndrejH
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