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.
:
let c = no. of cars sold
"dealer sold 142 more motorcycles than cars". Therefore
(c+142) = no. of motorcycles sold
:
{{{c/((c+142))}}} = {{{5/7}}}
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