Maths-
General
Easy

Question

T = 1,000 + 18 h
Where,
T = Brittany's total take-home pay ($) for the first week of work
h = number of hours she worked that week
1,000 = sign-on bonus
If Brittany's total take-home pay was $ 1,576, for how many hours was Brittany paid for her first week of work?

  1. 16
  2. 32
  3. 55
  4. 88

The correct answer is: 32


    Hint:-
    Total take-home pay = Number of hours worked * pay per hour
    Step-by-step solution:-
     Total take-home pay = T = 1,576
     ∴ 1,000 + 18 h = 1,576 ------------ (As per given information)
     ∴ 18 h = 1,576 - 1,000
     ∴ 18 h = 576
     ∴ h = 576 over 18
     ∴ h = 32
     ∴ Brittany was paid for 32 hours for the first week of work
    Final Answer:-
        Option B i.e. 32 is the correct Option.
    Note:
    Alternatively, we can directly substitute the values (Number of hours i.e. h) given in options into the equation and check whether we get the answer as 1,576 or not as explained below-
    A. 16 hours
    ∴ T = 1,000 + 18 h
    ∴ T = 1,000 + 18 (16)
    ∴ T = 1,000 + 288
    ∴ T = 1,288 ≠ 1,576
    B. 32 hours
    ∴ T = 1,000 + 18 h
    ∴ T = 1,000 + 18 (32)
    ∴ T = 1,000 + 576
    ∴ T = 1,576
    C. 55 hours
    ∴ T = 1,000 + 18 h
    ∴ T = 1,000 + 18 (55)
    ∴ T = 1,000 + 990
    ∴ T = 1,990 ≠ 1,576
    D. 88 hours
    ∴ T = 1,000 + 18 h
    ∴ T = 1,000 + 18 (88)
    ∴ T = 1,000 + 1,584
    ∴ T = 2,584 ≠ 1,576
    No need to solve for Options C & D in exam because we already got the correct answer as B.

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