Question

Solve the proportions 28/35=8/r

Answer 1

r = 10

Step-by-step explanation

To solve for r first we have to put r in the numerator. To do that, we have to multiply both sides of the proportion by r:

`\begin{gathered} (28)/(35)\cdot r=(8)/(r)\cdot r \\ (28)/(35)r=8 \end{gathered}`

Now, we have to multiply both sides by 35:

`\begin{gathered} (28)/(35)r\cdot35=8\cdot35 \\ 28r=280 \end{gathered}`

And finally divide both sides by 28:

`\begin{gathered} (28r)/(28)=(280)/(28) \\ r=10 \end{gathered}`