There are 10 pupils in a dance class. Their teacher has 80 jelly beans. After she gives the same number of jelly beans to each of the girls in the class, there are 3 jelly beans leftover. How many boys are there in the class?
Correct answer: C. 3
- A. 1
- B. 2
- C. 3
- D. 5
Explanation
3 (, 9 - in a specific case) Showing the work. The teacher distributed 77(80-3) jellybeans among the girls in class. For the 77 jellybeans to be distributed equally, the number of girls has to be divisible by 77. The only factors of 77 are 1, 7, 11, 77. out of which only 1, 7 is less than 10. Taking a licence to use the semantics of the question, it mentions distribution to girls(plural), which discounts 1 as the number of girls. Hence the number of girls is 7 with that assumption and since the total is 10 pupils, the number of Boys is 3. Ignoring that crucial semantic 1 girl(gets 77 jellybeans and a cavity) and 9 Boys achieves the same result
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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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