Question 1190231: Jordan has a total of two hundred sixty-four coins. She has three times as many quarters as dimes and one-half as many dimes as pennies. How much money does she have?
Answer by math_tutor2020(3817)   (Show Source):
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d = number of dimes
number of quarters = 3*(number of dimes)
number of quarters = 3d
number of dimes = (1/2)*(number of pennies)
number of pennies = 2*(number of dimes)
number of pennies = 2*d
The three coin counts add to 264
(dimes)+(quarters)+(pennies) = total
(d)+(3d)+(2d) = 264
6d = 264
d = 264/6
d = 44
She has 44 dimes
Also,
3d = 3*44 = 132
She has 132 quarters
And,
2d = 2*44 = 88
she has 88 pennies.
Check:
88 pennies + 44 dimes + 132 quarters = 264 coins total
The counts of each coin type, along with their respective value, is shown below
| Coin | Count | Value | Scratch Work | | Pennies | 88 | 88 cents | 88*1 = 88 | | Dimes | 44 | 440 cents | 44*10 = 440 | | Quarters | 132 | 3300 cents | 132*25 = 3300 |
The total value of all the coins is the sum of each item in the "value" column.
88 cents + 440 cents + 3300 cents = 3828 cents
Lastly, divide by 100 to convert from cents to dollars
3828 cents = (3828/100) dollars
3828 cents = 38.28 dollars
Jordan has 38.28 dollars worth of coins.
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