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?

Respuesta :

Answer:

Fraction of fire trucks = [tex]\frac{1}{4}[/tex]

Total number of toy cars = [tex]16[/tex]

Step-by-step explanation:

Fraction of sports car = [tex]\frac{2}{3}[/tex]

Fraction of remaining cars [tex]=1-\frac{2}{3}=\frac{3-2}{3} =\frac{1}{3}[/tex]

So,

Fraction of pick up cars = [tex]\frac{1}{4}(\frac{1}{3})=\frac{1}{12}[/tex]

Therefore,

Fraction of fire trucks = [tex]\frac{1}{3}-\frac{1}{12}=\frac{4-1}{12}=\frac{3}{12}=\frac{1}{4}[/tex]

That is Number of fire trucks = [tex]\frac{1}{4}[/tex] ( Total number of toy cars )

Number of fire trucks = 4

Total number of toy cars = [tex]4(4)=16[/tex]