Admission to a baseball game is 2.50 for general admission and 5.00 for reserved seats the receipts were 3290 for 929 paid admissions how many of each ticket were sold
Let's assume the number of general admission tickets sold is G, and the number of reserved seat tickets sold is R.
We know that the total number of paid admissions is 929, so we can write the equation: G + R = 929.
We also know that the total receipts were $3290, so we can write the equation: 2.50G + 5.00R = 3290.
To solve this system of equations, we can use substitution.
From the first equation, we can solve for G: G = 929 - R.
Substitute this expression for G in the second equation: 2.50(929 - R) + 5.00R = 3290.
Distribute: 2322.50 - 2.50R + 5.00R = 3290.
Combine like terms: 2.50R = 3290 - 2322.50.
Simplify: 2.50R = 967.50.
Divide by 2.50: R = 387.
Substitute this value of R back into the equation G + R = 929: G + 387 = 929.
Subtract 387 from both sides: G = 542.
So, 542 general admission tickets were sold, and 387 reserved seat tickets were sold.