A baseball team has home games on Friday and Sunday. the two games together earn $3391.00 for the team. Fridays game generates $401.00 less than Sundays game. How much money was taken in each game?
F = S - 401
F + S = 3391
Substitute S-401 for F in the second equation and solve for S. Insert that value into the first equation to solve for F. Check by putting both values into the second equation.
To find out how much money was taken in each game, we can set up a system of equations.
Let's assume that the amount of money earned in Friday's game is x dollars.
According to the given information, the amount of money earned in Sunday's game is x + $401.
Now we can set up the equation:
x + (x + $401) = $3391
Simplifying the equation:
2x + $401 = $3391
Subtracting $401 from both sides of the equation:
2x = $3391 - $401
2x = $2990
Dividing both sides of the equation by 2:
x = $1495
So, $1495 was earned in Friday's game.
Now, we can find the amount earned in Sunday's game:
x + $401 = $1495 + $401
x + $401 = $1896
Therefore, $1896 was earned in Sunday's game.
In conclusion, $1495 was taken in Friday's game, and $1896 was taken in Sunday's game.