Question

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children.

Answer 1

Answer:

$225 = $15 a + $ 10 c

Step-by-step explanation:

Given,

Total price = $225

Cost of concert ticket for adults= $15

Cost of concert ticket for children = $10

System of equation to represent scenario

a is variable for adult

c is variable for children

Now,

Total price =  $15 a + $ 10 c

$225 = $15 a + $ 10 c

Answer 2

The system of equations that can be used to represent this scenario is:

a + c = 20

15a + 10c = 225

The sum of adult and children's tickets bought is 20. This can be represented with this equation:

a + c = 20 equation 1

The total amount paid for the tickets is the sum of the price the children's ticket and the total amount of children's ticket bought and the price of adults' tickets the number of adults ticket bought.  This can be represented with this equation:

15a + 10c = 225 equation 2

These two equations are known as simultaneous equations.

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults