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A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?

Correct answer: B. 60, 60

  • A. 70, 50
  • B. 60, 60
  • C. 50, 70
  • D. 40, 80

Explanation

Let the numbers of boys and girls be b and g. Then b + g = 120 students and 2b + 3g = 300 chocolates; subtracting 2(b + g) = 240 chocolates gives g = 60 girls and b = 60 boys. The likely distractor is 70 boys and 50 girls, which gives only 290 chocolates, not 300 chocolates.

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