SOLUTION: Bob is a real state agent who travels to different neighborhoods to meet clients. The real estate company reimburses him for these expenses at the end of each month. Bob is allowe

Question 791828: Bob is a real state agent who travels to different neighborhoods to meet clients. The real estate company reimburses him for these expenses at the end of each month. Bob is allowed $0.45 per km for mileage and $9 per day for phone calls. In June, his mileage, meals, and phone expenses totalled $599.
Bobs mileage claim was $80 more than his claim for telephone calls, and his claim for meals for $20 less than his mileage claim. How far did Bob drive in June?
Im not even sure where to begin. Please help!

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Bob is allowed $0.45 per km for mileage and $9 per day for phone calls.
In June, his mileage, meals, and phone expenses totaled $599.
:
Let m = the no. of miles driven
let t = amt of telephone calls
let f = amt for meals
therefore
.45m + t + f = 599
:
Write an equation for the following statements:
:
Bobs mileage claim was $80 more than his claim for telephone calls,
.45m = t + 80
we can rewrite this to
t = .45m - 80
:
his claim for meals for $20 less than his mileage claim.
f = .45m - 20
:
Going back to the first equation, substitute for t and f:
.45m + (.45m-80) + (.4m-20) = 599
combine like terms
.45m + .45m + .45m - 80 - 20 = 599
1.35m - 100 = 599
1.35m = 599 + 100
1.35m = 699
m = 699/1.35
m ~ 518 miles in June
:
:
To check this, find the amt for mileage: 518 * .45 ~ $233
then
233 + (233-80) + 233-20) =
233 + 153 + 213 = 599
:
Did we make some sense out this for you? Always begin by defining the variables, in this case m, t, f; then write an equation for each statement.
Arrange these equations so you can substitute in a manner that will let you deal with one variable. CK

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