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 [tex](1) \times 5 - (2) \times 3[/tex] we get,
50y - 24y = 825 - 513
⇒26y = 312
⇒ y = [tex]\frac {312}{26}[/tex]
⇒ y = 12 -----------------(3)
Putting the value of y from (3) in (1) we get,
3x = 165 - 120
⇒3x = 45
⇒ x = [tex]\frac {45}{3}[/tex]
⇒ 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,
$ [tex](12 \times 12 + 2 \times 15)[/tex]
= $ (144 + 30)
= $ 174
The amount earned will be $174.
He earns $ 15 per hour tutoring and $ 12 per hour by working at the convenience store.
From the given information:
Let, Jimmy earns $ x per hour by tutoring and $ y per hour by working at a convenience store.
The resulting simultaneous equation will be
Solving using the substituting method
50y - 24y = 825 - 513
26y = 312
y = 12
Substituting the value of y from (3) in (1) we get,
3x = 165 - 120
3x = 45
x =
x = 15
So, he earns $ 15 per hour tutoring and $ 12 per hour by working at the convenience store.
Money earned = $ (144 + 30) = $ 174
Hence the amount earned will be $174.
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