Question

Choose all the values of b to make the the following statement true:7/30 =28/b

Answer 1

`(7)/(30)=(28)/(b)`

To find the values of b that make the statement true you solve the equation for b:

Multiply both sides of the equation by b:

`\begin{gathered} b\cdot(7)/(30)=b\cdot(28)/(b) \\ \\ b\cdot(7)/(30)=28 \end{gathered}`

Multiply both sides of the equation by 30/7

`\begin{gathered} b\cdot(7)/(30)\cdot(30)/(7)=28\cdot(30)/(7) \\ \\ b=(28\cdot30)/(7) \\ \\ b=(840)/(7) \\ \\ b=120 \end{gathered}`Then, the values that make the statement true are: 840/7 and 120