Question

tickets for a celebrity golf tournament were sold before the tournament and on the day of the tournament. after reviewing ticket sales, the tournament director found that 150 fewer tickets were purchased on the day of the tournament than before the tournament. a total of 898 tickets were sold. how many tickets were sold on the day of the tournament?

314 tickets
374 tickets
524 tickets
748 tickets

Explanation:

Define the variables

Using the Variable Identification knowledge point
Let \(b\) represent the number of tickets sold before the tournament.
Let \(d\) represent the number of tickets sold on the day of the tournament.

Translate the relationships into equations

Using the Algebraic Translation and System of Equations Translation knowledge points

$$
LATEXBLOCK0
$$

Solve the system of equations

Using the Substitution Method knowledge point

$$
LATEXBLOCK1
$$

Calculate the target value

Using the Substitution Method knowledge point

$$
LATEXBLOCK2
$$

Answer:

• 314 tickets
• 374 tickets (Correct answer)
• 524 tickets
• 748 tickets