Question

If x= 1, what number must be in the box?OA 1/1/201OB.O C. 1O D.O E. 1/

Answer 1

Given:

Let the missing number be represented by y.

Thus,

`(2)/(3)* y=1`

To solve for y, we have

`\begin{gathered} (2y)/(3)=1 \\ cross\text{ multiply,} \\ 2y=3 \\ divide\text{ both sides by the coefficient of y, which is 2} \\ (2y)/(2)=(3)/(2) \\ \Rightarrow y=(3)/(2) \\ \therefore y=1(1)/(2) \end{gathered}`

Hence, the number that must be in the box is

`1(1)/(2)`

The correct option is A