The number of students studying Physics, Chemistry and Zoology in a college in the year 2003 were in the ratio 4 : 3 : 5 respectively.
If the number in these three disciplines increased by 50%, 25% and 10% respectively in the year 2004, then what was the new respective ratio?
The answer given is 24 : 15 : 22 but I'm not sure how to solve it.
Thanks in advance!
Complicated Ratio Problem.. Please help?
2010-11-20 12:57 pm
回答 (2)
2010-11-20 1:05 pm
✔ 最佳答案
4 + 3 + 5 = 124 / 12 = 1 / 3
3 / 12 = 1 / 4
5 / 12
1 / 3 + 0.5 (1/3) = 1 / 2
1 / 4 + 0.25 (1 / 4) = 5 / 16
5 / 12 + 0.1 ( 5 / 12 ) = 11 / 24
LCM of 2, 16, and 24 is 48....
1 / 2 = 24 / 48
5 / 16 = 15 / 48
11 / 24 = 22 /48
so the new ratio is 24:15:22
Hope that helps =)
2010-11-20 9:00 pm
After the increase, the ratio becomes
150% of 4 : 125% of 3 : 110% of 5 =
1.5 * 4 : 1.25 * 3 : 1.1 * 5 =
6 : 3.75 : 5.5
If the answer must be in integers, then:
6 * 4 : 3.75 * 4 : 5.5 * 4 =
24 : 15 : 22
150% of 4 : 125% of 3 : 110% of 5 =
1.5 * 4 : 1.25 * 3 : 1.1 * 5 =
6 : 3.75 : 5.5
If the answer must be in integers, then:
6 * 4 : 3.75 * 4 : 5.5 * 4 =
24 : 15 : 22
收錄日期: 2021-04-20 20:30:16
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