Question

A baseball team has home games on Friday and Sunday. The two games together earn ​$3432.00 for the team. Friday​'s game generates ​$104.00 less than Sunday​'s game. How much money was taken in at each​ game?

Answer 1

Friday's game generates $1,664 while Sunday's, game generates $1,768 for a total of $3432.00.

Explanation:

First, identify what you know:

1) A baseball team has home games on Friday and Sunday

2) Both games, combined, earned $3432.00

3) Friday's game generated $104.00 less than Sunday's game.

We can create a formula to solve our problem!

$3,432 = x + (x - 104)

$3,432 + 104 = x + x

$3,536 = 2x

$3,536/2 = x

x = $1,768

Sunday's game earned $1,768! If Friday's game earned $104 less, then simply subtract that from Sunday's earning!

$1,768 - $104 = $1,664

Friday's game cost $1,664, and Sunday's game earned $1,768!

Hope this helps! :)

Answer 2

Answer: $1664 was taken in Friday's game and $1768 was taken in Saturday's game.

Explanation:

Let x represent the amount of money that Friday's game earned for the team.

Let x represent the amount of money that Saturday's game earned for the team.

The two games together earn ​$3432.00 for the team. This means that

x + y = 3432 - - - - - - - - - - - -1

Friday​'s game generates ​$104.00 less than Sunday​'s game. This means that

x = y - 104

Substituting x = y - 104 into equation 1, it becomes

y - 104 + y = 3432

2y = 3432 + 104

2y = 3536

y = 3536/2

y = 1768

x = y - 104 = 1768 - 104

x = 1664