SOLUTION: Carter has three times as many nickels as quarters and three more dimes than nickels. If the total face value of these coins is $3.80, how many dimes does Carter have? Define your

Algebra ->  Matrices-and-determiminant -> SOLUTION: Carter has three times as many nickels as quarters and three more dimes than nickels. If the total face value of these coins is $3.80, how many dimes does Carter have? Define your       Log On


   



Question 1027439: Carter has three times as many nickels as quarters and three more dimes than nickels. If the total face value of these coins is $3.80, how many dimes does Carter have? Define your variables, set up the equations, and solve.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Carter has three times as many nickels as quarters
Quarters = q
Nickels = 3q
and three more dimes than nickels.
3q+3
If the total face value of these coins is $3.80, = 380 cents
25q+5*3q+10*(3q+3)=380
25q+15q+30q+30=380
70q=350
q= 5
dimes = (3q+3) = 18