Can you help me solve this problem?

Question

A baseball team has home games on Wednesday and Sunday. The two games together earn $4597 for the team. Wednesday's game generates $1253 less than Sunday's game. How much money was taken in at each game?

Answer 1

Here are some steps to follow:

 

1.  Underline key words and numbers in the sentence.

 

                                                       Game A            Game B            Game A+  Game B         =       $4,597

A baseball team has home games on Wednesday and Sunday.  The two games together earn $4597 for the team. 

   

    X-$ 1253                                              -        Let X=Sunday's game      

Wednesday's game generates $1,253 less than Sunday's game.  How much money was taken in at each game?

 

2.  You can put the data on a mini-table, for example:

                              Wednesday                           Sunday                 Total

                                Game A                               Game B                   

                                 X-1,253                                X                    =$4,597

 

3.  Now write out the equation, and solve for "X."

 

                                X-$1,253 + X  = $4,597    Add the "X's together.

 

                                         2X-$1,253 = $4, 597  Add + $1253 to both sides of the equal sign

 

                                             +$1,253  +$1,253

 

4.  You now have the following:   2X=  5,850                Divide by the number next to "X."

 

5.   X= 5,850/2        X=2,925      Answer

 

6.  The last step is to check your work by substituting the value for X into the X-$1,253 + X =$4,597

 

If you get $4,597 on both sides of the equal side after simplifying, then the answer is correct.                      

Answer 2

Hi Tasha

 

Algebra always starts with X, so let's make X = Sunday's game.  That means Wednesday's game is X - 1253 (less than...).  The 2 games together earned 4597 so add the 2 together for your equation and solve:

 

X + X - 1253 = 4597

 

2X - 1253 = 4597

 

2X = 5850

 

X = 2925 - Sunday's game

 

2925 - 1253 = 1672 - Wednesday's game

 

The 2 add up to 4597 so you are good to go

 

All the best

 

Lori