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Linear Equations in One Variable

SAT Math· difficulty 3/5

A piggy bank has only nickels and dimes totaling 3.25.Thereare3.25. There are 40$ coins in all. How many dimes are there?

  • A

    20

  • B

    15

  • C

    25

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  • D

    30

Explanation

Let dd = dimes, nn = nickels. d+n=40d + n = 40 and 0.10d+0.05n=3.250.10d + 0.05n = 3.25. Substitute n=40−dn = 40 - d: 0.10d+0.05(40−d)=3.250.10d + 0.05(40-d) = 3.25, so 0.05d=1.250.05d = 1.25 and d=25d = 25.

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