how much money

Question

A baseball team has home games on Wednesday and Saturday. The two games together earn $5267.50.for the team. Wednesday's game generates $1207.50
less than Saturday's game. How much money was taken in at each game?

How much money did Wednesday's game generate?

How much money did Saturday's game generate?  

Answer 1

Saturday's game earned X

 

Wednesday's game earned  X - 1207.50

 

Together then X + X - 1207.50 = 5267.50

 

Combine like terms 2X - 1207.50 = 5267.50

 

Solve for 2X, 2X = 6470

 

Solve for X, X = 3237.50 - this is how much Saturday's game brought in

 

Solve for X - 1207.50 = 2030 this is how much Wednesday's game brought in

 

3237.50 + 2030 = 5267.50 check

Answer 2

Let W = the money generated by Wednesday's game, and S = the money generated by Saturday's game.

 

Wednesday's game generated $1207.50 less than Saturday's game, so:

 

                                W = S - 1207.50

 

Together the games generated $5267.50 , or:

 

                              W  +  S  = 5267.50    

 

Substituting the first equation for W into the second equation:

 

                  ( S - 1207.50)  + S  = 5267.50

 

                    2S   - 1207.50  = 5267.50    (Add 1207.50 to both sides)

 

                                 2S  = 5267.50  + 1207.50

 

                                 2S  = 6475.00             (Divide both sides by 2)

 

                                 S  = $3237.50                W = S - 1207.5  = 3237.5 - 1207.50  

 

                                 W = $2030.00