can anyone help me with the problem below?
The total cost for five items of repair work on a car was $195. Overhaul of the carburetor cost twice as much as the tune-up, brake pads cost one-third as much as the carburetor overhaul, and alignment and wheel balancing each cost one-third as much as the tune-up. What did the tune-up cost?
A. $30
B. $45
C. $60
D. $90
E. One cannot tell from the information given.
Here's what you do:
When you are given a problem like this you need to read the whole question and see how much information you are given. What is given in this problem is:
Total Cost = 195
Overhaul of the carburetor = 2*tune-up
brake pads = (1/3)*Overhaul of the carburetor=(1/3)*2*tune-up
alignment = (1/3)*tune-up
wheel balancing = (1/3)*tune-up
Now you can take this information and add them together because they all have the same variable in them (i.e. tune-up) and set them equal to 195. So you get:
2*tune-up+(1/3)*2*tune-up+(1/3)*tune-up+(1/3)*tune-up=195
The answer you get is how much your tune-up cost.
Hope this helps!