Question

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Write a system of equations represents the situation

Answer 1

A system of equations that represents the situation is:

3x + 2y = 315..... Equation 1

2x + 4y = 450...... Equation 2

Explanation:

Let the number of

Haircuts = x

Hair dyes = y

Hence:

Alexandra finds that she can give:

3 haircuts and 2 hair dyes in 315 minutes.

3x + 2y = 315..... Equation 1

Giving 2 haircuts and 4 hair dyes takes 450 minutes

2x + 4y = 450...... Equation 2

Therefore:

a system of equations that represents the situation is:

3x + 2y = 315..... Equation 1

2x + 4y = 450...... Equation 2