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| Math Central | Quandaries & Queries |
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Question from Renae, a student: Charity has 42 more pennies than dimes. Hope has 7 times as many pennies than dimes. Hope and Charity have the same number of dimes. Together they have $5.46. How many dimes and pennies do each have? |
Hi Renae,
Charity and Hope each have the same number of dimes so let $d$ be the number of dimes that each of them has. I want to concentrate on Charity.
Charity
| Coins | Number of coins | Value of coins in cents |
|---|---|---|
| dimes | $d$ | $10 \;d$ |
| pennies | $d + 42$ | $d + 42$ |
Thus the total value of Charity's coins in cents is $10\;d + d + 42.$
What is the total value of Hope's coins in cents? Together the value of their coins is $546$ cents. Solve for $d.$
Penny
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