Re: The ratio of boys to girls in a certain coed school is greater than 1.
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29 Dec 2023, 17:43
To set up the information we are given, where B1 = original number of boys, G1 = original number of girls.
[(B1 - 2) / (G1 + 3)] > 1. The least number of boys requires the least number of girls, and the question tells us to assume at least 1 girl. So we should assume exactly 1 girl.
[(B1 - 2) / (G1 + 3)] > 1 ==> [(B1 - 2) / (1 + 3)] > 1 ==> [(B1 - 2) / 4] > 1 ==> B1 - 2 > 4 ==> B1 > 6
Note that it has to be greater than 6, not greater than or equal to 6. So 7 is the answer.