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Linear Equations in One Variable

SAT Math· difficulty 2/5

A bag contains nickels and dimes worth \2.50$ total. There are 30 coins in all. How many dimes are in the bag?

  • A

    20

    check_circle
  • B

    25

  • C

    10

  • D

    15

Explanation

Let nn = nickels, dd = dimes. n+d=30n + d = 30, 0.05n+0.10d=2.500.05n + 0.10d = 2.50. Substitute n=30−dn = 30 - d: 0.05(30−d)+0.10d=2.500.05(30-d) + 0.10d = 2.50 → 1.5+0.05d=2.501.5 + 0.05d = 2.50 → d=20d = 20.

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