SOLUTION: twice as many dimes as nickles, two more quarters than nickels and a total of $5.50

Question 273973: twice as many dimes as nickles, two more quarters than nickels and a total of $5.50
Answer by calegebra(14) (Show Source): You can put this solution on YOUR website!
set x = number of nickels
2x = number of dimes
x + 2 = number of quarters
nickel = .05
dime = .10
quarter = .25
(.05)(x) + (.10)(2x) + (.25)(x + 2) = $5.50
.05x + .20x + .25x + .50 = $5.50
.05x + .20x + .25x = $5.00
.50x = $5.00
x = 10 number of nickels (10)(.05) = .50
2x = 20 number of dimes (20)(.10) = 2.00
x + 2 = 12 number of quarters (10 + 2) = 12 * .25 = 3.00
Add them up 3.00 + 2.00 + .50 = 5.50
RELATED QUESTIONS
a piggy bank has $4.40 in nickels, dimes and quarters. there are twice as many quarters... (answered by Fombitz)

A vending machine contains nickels, quarters, and dimes with a total value of $83.75.... (answered by ankor@dixie-net.com,josgarithmetic,ikleyn,MathTherapy)

a bag contains $1.40 in nickles, dimes and quarters. if there are 3 more dimes than... (answered by josgarithmetic)

A piggy bank contains $4.40 in nickles, dimes and quarters. there are twice as many... (answered by ptaylor)

a cash box contained $12.25 in quarters,dimes, and nickles. If there were five more than... (answered by ankor@dixie-net.com)

In a purse are nickels, dimes and quarters amounting to $9.85. There are twice as many... (answered by josgarithmetic)

A coin collection contains nickels, dimes, and quarters. There are twice as many dimes as (answered by ikleyn)

a coin collection contains nickels dimes quarters there are twice as many dimes as... (answered by dabanfield@earthlink.net)

2 more than 5 times as many nickels as quarters and 4 less than twice as many dimes as... (answered by stanbon)