Question 1167750: The ratio of the number of boys to the number of girls in school of 720 student is 3:5. If 16 new girls are admitted in the school .find how many new boys may be admitted so that the ratio of the member of boys to number the girls may change to 2:3
Answer by solver91311(24713)   (Show Source):
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I don't think it is possible to achieve the desired ratio with the given numbers.
Since the current ratio of boys to girls is 3:5, you can divide the total number of current students by 8 (3 + 5), and then multiply that quotient by 3 to get the number of boys and by 5 to get the number of girls. 90 times 3 is 270 and 90 times 5 is 450.
Now, in order to have a boy to girl ratio of 2:3 after adding 16 girls, the number of girls must be divisible by 3 and, of course, the number of boys must be even. However, 466 is not divisible by 3. Of course, if you allow fractional parts of a student to be enrolled, then you could have 466 girls and enroll 40 and 2/3 boys for a total of 310 and 2/3 boys.
John
My calculator said it, I believe it, that settles it
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