The unknown that will make the equation true is 17
Explanation:
let the blank space be represented by y:
[tex]\begin{gathered} 5\mleft(20+y\mright)=100+85 \\ \text{expanding parenthesis using distributive property:} \\ 5(20)\text{ + 5(y) = 100 + 85} \\ 100\text{ + 5y = 185} \\ \end{gathered}[/tex][tex]\begin{gathered} \text{subtract 100 from both sides:} \\ 100\text{ - 100 + 5y = 185 - 100} \\ 0\text{ + 5y = 85} \\ 5y\text{ = 85} \end{gathered}[/tex][tex]\begin{gathered} \text{divide both sides by 5:} \\ \frac{5y}{5}=\frac{85}{5} \\ y\text{ = }17 \end{gathered}[/tex]
The unknown that will make the equation true is 17
