Answer:
[tex]\huge\boxed{w=9}[/tex]
Step-by-step explanation:
In order to solve for w here, let's write the proportion.
[tex]\frac{5}{6} = \frac{10}{w+3}[/tex]
To solve for w, we need to get it isolated on one side of the equation. To do this, we can first multiply both sides by 6 and w+3 in order to get rid of the denominators.
- [tex]\frac{5}{6} \cdot 6 \cdot w+3 = \frac{10}{w+3} \cdot (w+3) \cdot6[/tex]
- [tex]5(w+3) = 60[/tex]
- [tex]5w+15 = 60[/tex]
- [tex]5w = 45[/tex]
- [tex]w = 9[/tex]
Therefore, w=9.
Hope this helped!
