SOLUTION: nick has $3.85 in dimes quarters. if he has 7 more dimes than quarters,how many each coin does he have?

Question 666459: nick has $3.85 in dimes quarters. if he has 7 more dimes than quarters,how many each coin does he have?
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x = dimes
y = quarters
...
Given
.1x + .25y = 3.85
x = y + 7
...
Substitute x into the first equation and solve for y, quarters
.1(y+7) + .25y = 3.85
...
Distribute .1
.1y + .7 + .25y = 3.85
...
Isloate y
.35y = 3.85 - .7
.35y = 3.15
...
Divide both sides by .35
quarters
...
Substitute y = x-7 into the first equation and solve for x, dimes
.1x + .25(x-7) = 3.85
...
Distribute the .25
.1x + .25x - 1.75 = 3.85
...
Isolate x
.35x = 3.85 + 1.75
.35x = 5.6
dimes
...
Check
.....................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkAnswers.com

RELATED QUESTIONS
Mr. Smith has $4.90 in dimes and quarters in his wallet. If he has 7 more quarters than... (answered by CubeyThePenguin,Alan3354)

chris has $3.55 in dimes and quarters. If he has 11 more dimes than quarters, how many of (answered by mando271)

A boy has 93 cent in pennies, nickels, dimes, and quarters. He has two more quarters than (answered by EMStelley)

Burt has $4.95 in dimes and quarters. He has three more quarters than twice as many... (answered by CubeyThePenguin)

Ted has 2 more dimes than quarters. IF he has $1.95, how many of each coin does he... (answered by ikleyn)

Dan has 21 coins, all nickels, dimes, and quarters worth $3.35. If he has 4 more quarters (answered by TimothyLamb)

Dan has 21 coins, all nickels, dimes, and quarters worth $3.35. If he has 4 more quarters (answered by josgarithmetic,solve_for_x)

Leo has $3.25 in quarters and dimes. He has four more quarters than dimes. How many of... (answered by stanbon)

Michael has $2.25 in nickels, dimes, and quarters. If he has 3 fewer dimes than quarters (answered by stanbon,BrittanyM)