Question

Megan scored 5 points less than twice the number scored by Darin. Together they scored a total of 42 points. How many points were scored by Megan?

Answer 1

If Darin scored x points, and Megan scored 5 points less than twice that score, that means Darin scored x while Megan scored 2x - 5. Together they scored a total of 42 points. Adding both scores together, we now have the equation shown;

`\begin{gathered} x+(2x-5)=42 \\ x+2x-5=42 \\ 3x-5=42 \\ \text{Add 5 to both sides } \\ 3x=47 \\ \text{Divide both sides by 3} \\ (3x)/(3)=(47)/(3) \\ x=15(2)/(3) \\ \text{Therefore Megan scored } \\ 2x-5 \\ =2((47)/(3))-5 \\ =(94)/(3)-5 \\ =(32)/(3) \\ =10(2)/(3) \end{gathered}`

Therefore, Megan scored 10 2/3 points