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Test
Math
Domain
Algebra
Skill
Linear equations in two variables
Difficulty
Medium
ID: 637022d2
Modded SAT Question Bank by Abdullah Mallik

2.5b+5r=80

The given equation describes the relationship between the number of birds, b, and the number of reptiles, r, that can be cared for at a pet care business on a given day. If the business cares for 16 reptiles on a given day, how many birds can it care for on this day?

  1. 0

  2. 5

  3. 40

  4. 80

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Correct Answer: A
Rationale

Choice A is correct. The number of birds can be found by calculating the value of b when r=16 in the given equation. Substituting 16 for r in the given equation yields 2.5b+516=80, or 2.5b+80=80. Subtracting 80 from both sides of this equation yields 2.5b=0. Dividing both sides of this equation by 2.5 yields b=0. Therefore, if the business cares for 16 reptiles on a given day, it can care for 0 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.

Question Difficulty: Medium
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