Question

One-fourth of the cars that an automobile manufacturer produces are sports cars, and the rest are sedans. If one-fifth of the cars that the manufacturer produces are red and one-third of the sports cars are red, then what fraction of the sedans is red

Answer 1

Explanation:

Let's base this on 100%, or 100 cars, which is 100% of the cars. If 1/4 of the 100 cars are sports cars, then we have

25 sports cars and

75 sedans

If 1/5 of the total cars are red, 20 of the 100 cars are red (since 1/5 is 20).

If 1/3 of the sports cars, of which we have 25, are red, then 25/3 of the sports cars are red.

Since we have 20 total red cars and 25/3 of them are sports cars, then the rest of them must be red sedans:

Total red cars - red sports cars = red sedans

`20-((1)/(3)*25)` which simplifies to

`20-(25)/(3)=(60)/(3)-(25)/(3)=(35)/(3)`