Question in-the
In the equation above, T represents Brittany’s total take-home pay, in dollars, for her first week of work, where h represents the number of hours she worked that week and 1,000 represents a 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?
16
32
55
88
In the equation above, T represents Brittany’s total take-home pay, in dollars, for her first week
Medium-difficulty · SAT Math · Linear Equations in One Variable — Word problems → single variable. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. Since Brittany’s total take-home pay was $1,576, the value 1,576 can be substituted for T in the given equation to give 
. Subtracting 1,000 from both sides of this equation gives 
. Dividing both sides of this equation by 18 gives 
. Therefore, Brittany was paid for 32 hours for her first week of work.
Choice A is incorrect. This is half the number of hours Brittany was paid for. Choice C is incorrect and may result from dividing 1,000 by 18. Choice D is incorrect and may result from dividing 1,576 by 18.
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