Question

Select the statement where the value of the unknown number is 2.9.A.] 5.8 times a number is 2B.] 2 times a number is 5.8C.] 2.9 times a number is 5.8D.] 5.8 times a number is 2.9

Answer 1

B)

Step-by-step explanation

Step 1

A) 5.8 times a number is 2

Let x represents the number, then

`\begin{gathered} a)5.8x=2 \\ 5.8x=2 \\ \text{divide both sides by 5.8} \\ (5.8x)/(5.8)=(2)/(5.8) \\ x=0.34 \end{gathered}`

Hence, A) is not the solution

Step 2

B) 2 times a number is 5.8

Let x represents the number

`\begin{gathered} 2\text{ times a number is 5.8} \\ 2\cdot x=5.8 \\ 2x=5.8 \\ \text{divide both sides by 2} \\ (2x)/(2)=(5.8)/(2) \\ x=2.9 \end{gathered}`

Hence, the unknow number is 2.9, B is a solution

Step 3

C) 2.9 times a number is 5.8

Let x represents the number, then

`\begin{gathered} 2.9\text{ times a number is 5.8} \\ 2.9\cdot x=5.8 \\ 2.9x=5.8 \\ \text{divide both sides by 2.9} \\ (2.9x)/(2.9)=(5.8)/(2.9) \\ x=2 \end{gathered}`

Hence, C) is not a solution

Step 4

Finally

D) 5.8 times a number is 2.9​

Let x represents the number, then

`\begin{gathered} 5.8\text{ times a number is 2.9} \\ 5.8\cdot x=2.9 \\ 5.8x=2.9 \\ to\text{ solve, divide both sides by 5.8} \\ (5.8x)/(5.8)=(2.9)/(5.8) \\ x=(1)/(2) \end{gathered}`

Hence, D) is not the solution