Question

Gwen, Alex and Manny are playing a game as a team. Gwen has scored two times as many points as Manny. Alex has scored 7 more points than Manny. Manny has scored 15 points. Which equation shows how many points their team has scored all together?

Answer 1

First we give a variable to every person so: Gwen (G), Alex (A) and Manny (M), now we write an equation for each condition so:

Gwen has score two times as many points as Manny

$G=2M$

Alex has score 7 more points than Manny so

$A=7M$

and Mann has scored 15 points so:

$M=15$

so the equation that shows how many point they score is:

$\begin{gathered} T=M+A+G \\ T=15+7\mleft(15\mright)+2\mleft(15\mright) \end{gathered}$