Question

Mr.Jackson bought 7 tickets to a football game and spent $43. He bought a combination of child tickets for $4 and adult tickets for $9 each. Write a system of equations to determine how many of each type of ticket he bought. Let x represent the child ticket and y represent the adult ticket.

Answer 1

The two equations are x + y = 7 and 4x + 9y = 43, which represent the total number of tickets and the total cost, respectively.

Step-by-step explanation:

To determine how many of each type of ticket Mr. Jackson bought, we need to write a system of equations. Let x represent the number of child tickets and y represent the number of adult tickets. There are two conditions that we know:

1. Mr. Jackson bought a total of 7 tickets.
2. Mr. Jackson spent a total of $43 on tickets.

The first condition can be written as an equation:
x + y = 7 (the total number of tickets).

The second condition involves the cost of the tickets. Child tickets cost $4 each and adult tickets cost $9 each.

Therefore, the second equation is:
4x + 9y = 43 (the total cost of tickets).

Together, these two equations form the system:

• x + y = 7
• 4x + 9y = 43

Answer 2

A system of equations for determining the number of child and adult tickets Mr. Jackson bought is x + y = 7 (number of tickets) and 4x + 9y = 43 (total amount spent), where x is the number of child tickets and y is the number of adult tickets.

Step-by-step explanation:

To determine how many of each type of ticket Mr. Jackson bought, we need to set up a system of equations using two variables: x for the number of child tickets and y for the number of adult tickets.

The first equation represents the total number of tickets:

x + y = 7

The second equation represents the total amount spent on the tickets:

4x + 9y = 43

Here, the first equation is derived from the fact that 7 tickets were bought in total, and the second equation from the cost of child tickets ($4 each) and adult tickets ($9 each) multiplied by the number of each type of ticket, equaling the total amount spent, which is $43.