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Kevin and Randy Muise have a jar containing 65 ​coins, all of which are either quarters or nickels. The total value of the coins in the jar is ​$8.65 How many of each type of coin do they​ have?

Respuesta :

adioabiola

The number of quarters or nickels Kevin and Randy Muise have in the jar is 27 and 38 respectively.

Simultaneous equation

  • A nickel = 5 cents
  • A quarter = 25 cents

n + q = 65

0.05n + 0.25q = 8.65

From equation (1)

n = 65 - q

substitute n = 65 - q into (2)

0.05n + 0.25q = 8.65

0.05(65 - q) + 0.25q = 8.65

3.25 - 0.05q + 0.25q = 8.65

- 0.05q + 0.25q = 8.65 - 3.25

0.20q = 5.40

q = 5.40/0.20

q = 27

Substitute into (1)

n + q = 65

n + 27 = 65

n = 65 - 27

n = 38

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