Question

Mark is a teaching assistant at a local community college. A tutor at the college works the same number of hours as mark but earns $13,500 less annually. The sum of marks annual salary and the tutors annual salary is $96,000. How much does each earn?

Answer 1

Explanation:

Let's call Mark's annual salary "M". We know that the tutor earns $13,500 less than Mark, so their annual salary can be represented as "M - $13,500".

We also know that the sum of their annual salaries is $96,000, so we can write an equation:

M + (M - $13,500) = $96,000

Simplifying this equation, we get:

2M - $13,500 = $96,000

Adding $13,500 to both sides, we get:

2M = $109,500

Dividing both sides by 2, we get:

M = $54,750

So Mark earns $54,750 per year. To find the tutor's salary, we can substitute this value back into our equation:

M + (M - $13,500) = $96,000

$54,750 + (Tutor's salary - $13,500) = $96,000

Tutor's salary - $13,500 = $41,250

Tutor's salary = $54,750

Therefore, the tutor also earns $54,750 per year.