Question

jimmy has two jobs, tutoring and working at a convenience store. he gets paid differently at each job. one week he tutored for 3 hours and worked at the convenience store for 10 hours; he earned $165. another week, he tutored for 5 hours and worked at the convenience store for 8hours: he earned $171. if he decides to work 12 hours at the convenience store and only tutors for 2 hours, how much would he earn

Answer 1

Answer:

He will earn $ 174 .

Step-by-step explanation:

Let, Jimmy earns  $ x per hour by tutoring and $ y per hour by working at a convenience store.

Then, according to the question,

3x + 10y = 165 --------------(1) and,

5x + 8y = 171 ----------------(2)

Doing $(1) \times 5 - (2) \times 3$ we get,

50y - 24y = 825 - 513

⇒26y = 312

⇒ y = $\frac {312}{26}$

⇒ y = 12 -----------------(3)

Putting the value of y from (3) in (1) we get,

3x = 165 - 120

⇒3x = 45

⇒ x = $\frac {45}{3}$

⇒ x = 15 ----------------(3)

So, he earns $ 15 per hour tutoring and $ 12 per hour by working at the convenience store .

So, by working 12 hours at the convenience store and 2 hours tutoring, he will earn,

$ $(12 \times 12 + 2 \times 15)$

= $ (144 + 30)

= $ 174