Question

Ernie has $3.50 in nickels and dimes. He has ten more nickels than dimes. How many of dimes does he have

Answer 1

20 Dimes and 30 nickels

Explanation:

Let n = the number of nickels

Let d = the number of dimes.

.05n + .1d = 3.50 Multiply through by 100 to remove the decimal

5n + 10d = 350

n = d + 10

Substitute d + 10 for n in the first equation.

5n + 10d = 350

5(d 10) + 10d = 350 Distribute the 5

5d + 50 + 10d = 350 Combine the d's

15d + 50 = 350 Subtract 50 from both sides

15d = 300 Divide both sides by 15

d = 20

The number of dimes is 20.

Substitute 20 for d

n = d + 10

n = 20 + 10

n = 30

The number of nickels is 30.

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