Question 25-b-5
The given equation describes the relationship between the number of birds, , and the number of reptiles, , that can be cared for at a pet care business on a given day. If the business cares for reptiles on a given day, how many birds can it care for on this day?
2.5 b + 5 r = 80 The given equation describes the relationship between the number
Hard-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice A is correct. The number of birds can be found by calculating the value of when in the given equation. Substituting for in the given equation yields , or . Subtracting from both sides of this equation yields . Dividing both sides of this equation by yields . Therefore, if the business cares for reptiles on a given day, it can care for birds on this day.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
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