Question

Six toy cars represent 2/5collection of toy cars. How many toy cars would represent 1 2/3 collection of toy cars?

Answer 1

First, let's convert the mixed number into a fraction:

`1(2)/(3)=1+(2)/(3)=(3)/(3)+(2)/(3)=(5)/(3)`

Then, we can use the following rule of three:

`\begin{gathered} 6\text{ toy cars}\to(2)/(5)\text{ of collection} \\ x\text{ toy cars}\to(5)/(3)\text{ of collection} \\ \\ (6)/(x)=((2)/(5))/((5)/(3)) \\ (6)/(x)=(2)/(5)\cdot(3)/(5) \\ (6)/(x)=(6)/(25) \\ x=25 \end{gathered}`

Therefore the answer is 25 toy cars.