👤

(a) Type an equation and (b) solve. Type the answers in the spaces provided. In the basketball championship game, the Falcons had three fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears? (Use b as the variable.) (a) (b) Bears:

Answer :

Answer:

There were 7 players on the Bears

Step-by-step explanation:

Given

[tex]a = falcons[/tex]

[tex]b = bears[/tex]

We have that:

[tex]a = 11[/tex]

and also:

[tex]a = 2b - 3[/tex] --- 3 fewer than twice a

Required

Solve for b

Substitute 11 for a in [tex]a = 2b - 3[/tex]

[tex]11 = 2b - 3[/tex]

Add 3 to both sides

[tex]3+11 = 2b - 3+3[/tex]

[tex]3+11 = 2b[/tex]

[tex]14 = 2b[/tex]

Divide both sides by 2

[tex]\frac{14}{2} = \frac{2b}{2}[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Hence, there were 7 players on the Bears