SOLUTION: Can you show me the correct way to work this problem through systems of linear equations? Thanks: Problem: Joe has $1.15 in dimes and nickles. The number of nickels is one le

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Can you show me the correct way to work this problem through systems of linear equations? Thanks: Problem: Joe has $1.15 in dimes and nickles. The number of nickels is one le      Log On


   

Question 371292: Can you show me the correct way to work this problem through systems of linear equations? Thanks:
Problem: Joe has $1.15 in dimes and nickles. The number of nickels is one less than twice the number of dimes. How many nickles and how many dimes does he have?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Problem: Joe has $1.15 in dimes and nickles. The number of nickels is one less than twice the number of dimes. How many nickles and how many dimes does he have?
-----
Method using two variable:
---
Quantity Equation: n = 2d-1
Value Equation::: 5n + 10d = 115 cents
--------------------------------------------
Substitute for "n" and solve for "d":
5(2d-1) + 10d = 115
10d-5 + 10d = 115
20d = 120
d = 6 (# of dimes)
---
Since n = 2d-1, n = 2*6-1 = 11 (# of nickels)
==============================================
Cheers,
Stan H.
===========