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 l

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?

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Nevaeh 2 weeks 2021-10-10T01:06:00+00:00 2 Answers 0

Answers ( )

    0
    2021-10-10T01:07:02+00:00

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

    Step-by-step 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

    0
    2021-10-10T01:07:35+00:00

    Answer:

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

    Step-by-step 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! 🙂

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