SOLUTION: The ratio of cars to motorcycles sold at a garage is 5:7. If a dealer sold 142 more motorcycles than cars in a particular month, find the number of each type of vehicle sold.

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Question 1186591: The ratio of cars to motorcycles sold at a garage is 5:7. If a dealer sold 142 more motorcycles than cars in a particular month, find the number of each type of vehicle sold.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of cars to motorcycles sold at a garage is 5:7.
If a dealer sold 142 more motorcycles than cars in a particular month, find the number of each type of vehicle sold.
:
let c = no. of cars sold
"dealer sold 142 more motorcycles than cars". Therefore
(c+142) = no. of motorcycles sold
:
c%2F%28%28c%2B142%29%29 = 5%2F7
cross multiply
7c = 5(c+142)
7c = 5c + 710
7c - 5c = 710
2c = 710
c = 710/2
c = 355 cars,
and
142 + 355 = 497 motorcycles