Question

1. A karate school offers a package of 12 group lessons and 3 private lessons for $132. It also offers a

package of 10 group lessons and 2 private lessons for $100. What is the cost of private lessons?
Identify the variables for the problem:
Write a system of equations to represent the
problem:
Solution and Answer to Question:

Answer 1

Variables:

x - group lessons

y - private lssons

The systems of equations to represent the problem:

12x+3y=132

10x+2y=100

Solution:

The cost for private lessons is $200

Explanation:

x is the number of group lessons

y is the number of private lessons

multiply 12x+3y=132 by 5

multiply 10x+2y=100 by -6

so now the two equations you have are

60x+15y=660

-60x+-12y=-600

add the two equations together and you get

3y = 600

now solve for y:

y=200