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No. You will not get a whole number of pennies and nickels to equal exactly $1. See below to find out why: Let X be the number of pennies and Y be the number of nickels. The total number of pennies and nickels is equal to 46 so, X + Y = 46 Additionally, the total number of pennies and nickels must also equal 1 dollar, so 0.01X + 0.05Y = 1 Using these two equations, solve simultaneously for X & Y to find the number of pennies and nickels. Use the 1st equation and substitue in the second. Substitute Y = 46-X into the 2nd equation: 0.01X + 0.05(46-X) = 1 0.01X + 2.30 - 0.05X = 1 0.04X = 1.30 X = 32.5 and solving for Y, Y=13.5

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Q: Is it possible for forty-six pennies and nickels to have a total value of a dollar?
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