Question

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?

Answer 1

9514 1404 393

Answer:

• 80 dimes
• 65 quarters

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.

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Check

80 dimes: $8.00

65 quarters: $16.25

Total: $8.00 +16.25 = $24.25.