kaylamichelle19 kaylamichelle19
  • 18-12-2021
  • Mathematics
contestada

Suppose you have 57 coins in a jar consisting entirely of dimes and quarters, worth a total of $10.65. How many dimes are in the jar?

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sqdancefan
sqdancefan sqdancefan
  • 28-12-2021

Answer:

  24

Step-by-step explanation:

Let d represent the number of dimes. Then (57-d) is the number of quarters, and the total value (in cents) is ...

  10d +25(57 -d) = 1065

  -15d +1425 = 1065 . . . . . . simplify

  -15d = -360 . . . . . . . . . . subtract 1425

  d = -360/-15 = 24 . . . divide by the coefficient of d

There are 24 dimes in the jar.

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