If the total value of a pile of 75 coins containing nickels and pennies is $2.95, how many nickels are there?

Answer 1

Greetings! Lets solve this shall we ?

So, we must create equations to obtain the number of nickels and pennies adding up to $2.95. Then, the equations yield,

n + p = 75

.05n + .01p = 2.95......................Multiply the top equation by -.01 such that

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-.01n - .01p = -0.75

.05n + .01p = 2.95

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.04n = 2.20

n = 55 Nickels

Then we plug it into the equation such that

55 + p = 75................Subtract 55 such that

-55 -55

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p = 20 pennies

I hope this helped!