Elena has 2 fewer hats than fran.together,they have 14 hats.which equation represents this situation

Answer 1

To start, we should define our variables

E= amt of hats Elena has

F= amt of hats Fran has

If Elena has 2 fewer hats than Fran, E= F-2

If Elena and Fran together have 14 hats, we can represent this as

E+F=14

by substituting F-2 for E, we can add our variables

F-2+F=14

2F-2=14

+2 +2

2F=16

divide each side by 2

F=8

Now that we know F=8, we can substitute this into our equation for Elena's hats

E= F-2

E= 8-2

E=6

So Elena has 6 hats and Fran has 8

Answer 2

X + (X-2) = 14