What is Sarah's wage?

Question

Sarah's hourly wage is $3.00 less than twice Jenny's hourly wage. Write an equation to find Jenny's hourly wage.

How much does Jenny earn per hour if Sarah earns $10.50 per hour?

Answer 1

Let Sarah hourly wage be Y and Jenny's be X

With Sarah's wage is $3 less than twice Jenny's wage, we can set this equation Y = 2 X - 3

Now, if Sarah earns $10.5/hr that means Y= 10.5

Let's replace Y by 10.5 into the equation 10.5 = 2 X - 3

Solving for X

1) add 3 on both side 10.5 + 3 = 2 X - 3 + 3

13.5 = 2 X

2) Divide both sides by 2

13.5/2 = 2 X /2

6.75 = X

Hence if Sarah earns $10.5/hr, Jenny earns $6.75