chloe makes $2.48 an hour more than michael. both of them worked for 28 hours on a project. together they made $459.20 what is michael's hourly wage?

Question

math word problem

Answer 1

Let Chloe total amount = 28x

Let Michael's total amount = 28y

 

This means that

x = Chloe's hourly wage

y = Michael's hourly wage

 

*Assuming both people worked for 28 hours individually, and not a combined total of 28 hours.

 

Using these variables, we can write equation.

 

28x + 28y = 459.20            eq1  ---->  total earnings

x - y = 2.48                        eq2  ----> difference in wage

 

You know have a system of equations.  Use the substitution method to solve for y.  Substitute eq2 into eq1.

 

28(2.48 + y) + 28y = 459.20

 

Solve for y from this bolded equation.