A group of 10 students went to a football game at their university. They each bought a ticket for $x and spent $20 on a t-shirt. A group of 4 adults went to the same football game and paid five times as much for each of their tickets as each student. The group of adults also bought a long-sleeved t-shirt for $25 each. The group of students spent the same amount as the group of adults. What is the cost of each student ticket? Write and solve an equation to model the problem. Explain the meaning of the solution. Input Field 1 of 1 Skip to input field

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantity value total

$3 tickets x 3 3x

$2 tickets y 2 2y

together 350 950

Step 3: Add down each column to get the equations

x + y = 350 (equation 1)

3x + 2y = 950 (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation: