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NEED HELP ASAP!

Ted has an impressive total of 145 dimes and quarters. The collection is worth $24.25.
How many dimes and quarters does he have?

Respuesta :

sqdancefan

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Answer:

  • 80 dimes
  • 65 quarters

Step-by-step explanation:

Let q represent the number of quarters (the higher-value item). Then 145-q is the number of dimes. The total collection is worth ...

  0.25q + 0.10(145 -q) = 24.25

  0.15q = 9.75 . . . . . . . . . . . . . . . . subtract 14.50; collect terms

  q = 65 . . . . . . . . . . . divide by 0.15

  d = 145 -q = 80

Ted has 80 dimes and 65 quarters.

___

Check

  80 dimes: $8.00

  65 quarters: $16.25

Total: $8.00 +16.25 = $24.25.

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