Question

please complete the following before the date listed above. show all of your work on this sheet of paper. use any resources available to you. for this lta, each question is worth 2 points.

1. tom sold six $20 adult tickets. children’s tickets sell for $10 each. if he made $540 in total, how many children tickets did he sell?

be sure to write a “let statement, write an equation and show your work algebraically!

Explanation:

Step1: Define variable for child tickets

Let $x$ = number of children's tickets sold.

Step2: Calculate adult ticket revenue

Adult revenue: $6 \times 20 = 120$

Step3: Set up total revenue equation

Total revenue = adult revenue + child revenue:
$$120 + 10x = 540$$

Step4: Isolate the variable term

Subtract 120 from both sides:
$$10x = 540 - 120$$
$$10x = 420$$

Step5: Solve for x

Divide by 10:
$$x = \frac{420}{10}$$

Answer:

42