SOLUTION: Betty has 10 more dimes than quarters. If she has $3.45, how many quarters does she have and how many dimes does she have?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Betty has 10 more dimes than quarters. If she has $3.45, how many quarters does she have and how many dimes does she have?      Log On


   



Question 174674: Betty has 10 more dimes than quarters. If she has $3.45, how many quarters does she have and how many dimes does she have?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Betty has 10 more dimes than quarters. If she has $3.45, how many quarters does she have and how many dimes does she have?
----------------------
Let # of quarters be "x"; their value is 25x cents
----------------------------
The # of dime is "x+10" ; their value is 10(x+10) = 10x+100 cents
----------------------------
Equation:
value + value = 345 cents
25x + 10x+100 = 345
35x = 245
x = 7 (# of quarters)
x+10 = 17 (# of dimes)
==========================
Cheers,
Stan H.