Question

DeSean is sorting his toy car collection. ⅔ of the cars are sports cars. ¼ of the remaining toys are pick up trucks. All of the other toy vehicles are fire trucks. What fraction of the toys are fire trucks? If DeSean has 3 fire trucks, how many toys does he have in his entire toy car collection?

Answer 1

Fraction of fire trucks =
`(1)/(4)`

Total number of toy cars =
`16`

Explanation:

Fraction of sports car =
`(2)/(3)`

Fraction of remaining cars
`=1-(2)/(3)=(3-2)/(3) =(1)/(3)`

So,

Fraction of pick up cars =
`(1)/(4)((1)/(3))=(1)/(12)`

Therefore,

Fraction of fire trucks =
`(1)/(3)-(1)/(12)=(4-1)/(12)=(3)/(12)=(1)/(4)`

That is Number of fire trucks =
`(1)/(4)` ( Total number of toy cars )

Number of fire trucks = 4

Total number of toy cars =
`4(4)=16`