Question

Ahairstylist charges $15 for an adult haircut and $9 for a child haircut. She wants to earn $360 dolars and cut 30 haircuts this week

Create a system of equations that models the situation. Define the variables you use.

Answer 1

15x+9y= 360----------1

x+y= 30--------------2

Explanation:

Step one:

given data

let adult be x

and child be y

A hairstylist charges $15 for an adult haircut and $9 for a child haircut

She wants to earn $360 dollars

15x+9y= 360----------1

and cut 30 haircuts this week

x+y= 30--------------2

Step two:

Hence the system of equations for the situation is given as

15x+9y= 360----------1

x+y= 30--------------2