2.5b + 5r = 80The 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?

Correct answer: A. 0

  • A. 0
  • B. 5
  • C. 40
  • D. 80

Explanation

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 + 5(16) = 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.

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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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