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Jin has $0.20 worth of pennies and nickels. He has a total of 12 pennies and nickels altogether. By following the steps below, determine the number of pennies, x, and the number of nickels, y that Jin has.

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The number of pennies, x, and the number of nickels, y that Jin has is 10 and 2 respectively.

Pennies and nickels

  • A penny = $0.01
  • A nickel = $0.05
  • number of pennies = x
  • Number of nickels = y

The equation:

x + y = 12

0.01x + 0.05y = 0.20

from (1)

x = 12 - y

substitute 12-y into (2)

0.01x + 0.05y = 0.20

0.01(12 - y) + 0.05y = 0.20

0.12 - 0.01y + 0.05y = 0.20

- 0.01y + 0.05y = 0.20 - 0.12

0.04y = 0.08

y = 0.08/0.04

y = 2

substitute y = 2 into (1)

x + y = 12

x + 2 = 12

x = 12 - 2

x = 10

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