SOLUTION: Kate has $6.00 worth of change in nickels and dimes. If she has 4 times as many nickels as dimes, how many of each type of coin does she have?

SOLUTION: Kate has $6.00 worth of change in nickels and dimes. If she has 4 times as many nickels as dimes, how many of each type of coin does she have?

Algebra.Com

Question 104548: Kate has $6.00 worth of change in nickels and dimes. If she has 4 times as many nickels as dimes, how many of each type of coin does she have?
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
N=4D
.05N+.10*D=6.00
.05*4D+.10D=6.00
.2D+.10D=6.00
.3D=6.00
D=6.00/.3
D=20 NUMBER OF DIMES
N=4*20
N=80 NUMBER OF NICKELS.
PROOF
.05*80+.10*20=6.00
4.00+2.00=6.00
6.00=6.00
RELATED QUESTIONS
Teresa has $6.00 worth of change in nickels and dimes. If she has 4 times as many... (answered by CubeyThePenguin)

Joan has $1.75 worth of change in nickels and dimes if she has three times as many... (answered by Alan3354)

Ann has $7.20 worth of change in nickels and dimes. If she has four times as many nickels (answered by ewatrrr,Alan3354)

Ann has $3.25 worth of change in nickels and dimes. If she has 3 times as many nickels (answered by josgarithmetic,addingup)

Sarah has $5.25 worth of change in nickels and dimes. If she has 3 times as many... (answered by MathLover1,ikleyn,josgarithmetic,greenestamps)

And have $7.20 worth of change in nickels and dimes. If she has four times as many... (answered by ewatrrr)

sally has $1.50 worth of change in her pocket-all nickels and dimes. she has three times (answered by checkley79)

Kendra has $4.50 in dimes and nickels. If she has 4 times as many dimes as nickels, how... (answered by Alan3354)

Kendra has $4.95 in dimes and nickels. If she has 4 times as many dimes as nickels, how... (answered by Alan3354)