Question 1190231
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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<table border = "1" cellpadding = "5"><tr><td>Coin</td><td>Count</td><td>Value</td><td>Scratch Work</td></tr><tr><td>Pennies</td><td>88</td><td>88 cents</td><td>88*1 = 88</td></tr><tr><td>Dimes</td><td>44</td><td>440 cents</td><td>44*10 = 440</td></tr><tr><td>Quarters</td><td>132</td><td>3300 cents</td><td>132*25 = 3300</td></tr></table>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 = <font color=red>38.28 dollars</font>


Jordan has <font color=red>38.28 dollars</font> worth of coins.
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