Discussion
The total number of students in a school is 500. If the number of boys in the school is 245, then what is the ratio of the total number of girls to the total numbers of boys in the school?
Answer: B
The ratio of girls to boys is 51 : 49. Girls = 500 - 245 = 255, and the ratio is 255 : 245, which divides by 5 to give 51 : 49.
49 : 51 reverses the order, and 50 : 49 and 51 : 40 are not 255 : 245.
Check: 255 + 245 = 500, and 255 : 245 reduces by the common factor 5 to 51 : 49, which cannot be reduced further because 51 = 3 × 17 and 49 = 7 × 7 share no factor. The question asks for girls to boys, in that order, so 49 : 51 is the wrong way round.
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