Problem of the Week

Updated at Jan 28, 2019 4:31 PM

For this week we've brought you this equation problem.

How would you solve the equation \(4(\frac{z}{5}+2)\times \frac{5}{z}=12\)?

Here are the steps:



\[4(\frac{z}{5}+2)\times \frac{5}{z}=12\]

1
Multiply both sides by \(z\)
\[20(\frac{z}{5}+2)=12z\]

2
Expand
\[4z+40=12z\]

3
Subtract \(4z\) from both sides
\[40=12z-4z\]

4
Simplify \(12z-4z\) to \(8z\)
\[40=8z\]

5
Divide both sides by \(8\)
\[\frac{40}{8}=z\]

6
Simplify \(\frac{40}{8}\) to \(5\)
\[5=z\]

7
Switch sides
\[z=5\]

Done