SOLUTION: 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?

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): You can put this solution on YOUR website!

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.

RELATED QUESTIONS
1. Samantha has a total of one hundred forty-one pennies, nickels and quarters. She has a (answered by stanbon)

Jordan has a total of one hundred thirty nickels,dimes and guarters. He has 3and a half... (answered by ptaylor)

1. Jordan has a total of one hundred thirty nickels, dimes and quarters. He has three and (answered by josmiceli)

Danielle has nickels, dimes and quarters. She has a total of $33.60. She has four times... (answered by edjones)

1. Mary has $2.25 in coins. She has the same number of quarters as dimes. She has half as (answered by ankor@dixie-net.com)

Please answer this one please Linda has some dimes nickels and quarters in her purse.... (answered by stanbon)

you has a combination of 28 quarters, nickels, and dimes. She has $3.15 total. She has... (answered by ewatrrr)

Mary has $5.00 in nickels, dimes, and quarters. If she has twice as many dimes as... (answered by ankor@dixie-net.com)

Alice has $5.00 in dimes, quarters, and half-dollars. She finds that she has 30 coins... (answered by dabanfield)