SOLUTION: Yuk! I hate applications. I always get mixed up picking picking what goes where in the equations. I had one person show me how to solve it using just equations, another showed me h

Question 86906: Yuk! I hate applications. I always get mixed up picking picking what goes where in the equations. I had one person show me how to solve it using just equations, another showed me how by using a table. I'm confused with both of them.
Here it is.
A truck rental agency charges a daily fee plus a milage fee. Mel was charged $85 for 2 days plus 100 miles, and Sarah was charged $165 for 3 days and 400 miles. What is the agency's daily fee and their milage fee?
a) Write the system of equations for this problem.
b) Find the solution.

Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
x will be the cost per mile
y will be the cost per day
.
Mel was charged $85 for 2 days plus 100 miles.
85 bucks for the sum of the costs
2 days would cost 2y
100 miles would cost 100x
2y + 100x = 85
.
Sarah was charged $165 for 3 days and 400 miles.
165 bucks for the sum of the costs
400 miles would cost 400x
3 days would cost 3y
3y + 400x = 165
.
a) Write the system of equations for this problem.
2y + 100x = 85
3y + 400x = 165
.
b) Find the solution.
-4(2y + 100x = 85)
3y + 400x = 165
.
-8y - 400x = -340
3y + 400x = 165
.
-5y = -175
y = 35
.
Pick one of the initial equations:
2y + 100x = 85
2(35) + 100x = 85
70 + 100x = 85
100x = 15
x = 0.15
.
$35 per day and $0.15 per mile

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