A collection of quarters and dimes is worth $12.40. There are 76 coins in all. So how many of each coin are there?

Raina Gomez
2022-09-25
Answered

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moderrockblog09

Answered 2022-09-26
Author has **7** answers

If all the 76 coins were dimes, we would have $7.60

i.e. we have $12.40−$7.60=$4.80 or 480 cents extra

Each quarter would have 25−10=15 cents more

but we have 480 cents more

so we have $\frac{480}{15}=32$ quarters

and 76−32=44 dimes.

Check - 44 dimes is 440 cents or $4.40 and 32 quarters are $32\times 25=800$ cents or $8.00. Hence total $12.40

i.e. we have $12.40−$7.60=$4.80 or 480 cents extra

Each quarter would have 25−10=15 cents more

but we have 480 cents more

so we have $\frac{480}{15}=32$ quarters

and 76−32=44 dimes.

Check - 44 dimes is 440 cents or $4.40 and 32 quarters are $32\times 25=800$ cents or $8.00. Hence total $12.40

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