Tilly earns p dollars for every w hours of work. Which expression represents the amount of money, in dollars, Tilly earns for 39w hours of work?
Correct answer: A. 39p
- A. 39p
- B. p/39
- C. p + 39
- D. p - 39
Explanation
Choice A is correct. It's given that Tilly earns p dollars for every w hours of work. This can be represented by the proportion p w . The amount of money, x , Tilly earns for 39w hours of work can be found by setting up the proportion p/w = x/39w. This can be rewritten as 39pw = xw . Dividing both sides by w results in x p =39 .
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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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