Question

On Friday, there were x students at the baseball game. On Monday, there were half as many students at the game as there were on Friday. On Wednesday, there were 32 fewer students at the game as there were on Friday. Which expression could represent the total number of tickets sold for all 3 games?

a. 2 1/2x-32
b. 2 1/2x+32
c. 3 1/2x-32
d. 3 1/2x+32

Answer 1

x on Friday

1/2x on Monday

x - 32 on Wednesday

x + 1/2x + x - 32

2 1/2x - 32 is the total number of tickets for all three.

The correct answer is A.

Answer 2

a.
`2(1)/(2)x-32`

Step-by-step explanation:

We are told that on Friday, there were x students at the baseball game.

We are also told that on Monday, there were half as many students at the game as there were on Friday, therefore, number of students at the baseball game on Monday will be
`(1)/(2)x`.

On Wednesday, there were 32 fewer students at the game as there were on Friday, therefore, number of students at the baseball game on Wednesday will be
`x-32`.

To find the number of total tickets sold for all 3 games we will add the number of students attending the baseball game on Friday, Monday and Wednesday.

`\text{ Total number of tickets sold for 3 games}=x+(1)/(2)x+x-32`

Now let us combine like terms.

`\text{ Total number of tickets sold for 3 games}=(1+(1)/(2)+1)x-32`

`\text{ Total number of tickets sold for 3 games}=(2.5)x-32`

`\text{ Total number of tickets sold for 3 games}=2(1)/(2)x-32`

Therefore, the expression that represents the total number of tickets sold for all 3 games is
`2(1)/(2)x-32` and option a is the correct choice.