thier are 20 students in morning class 8 are women 12 are men in afternoon class she has 30 students?
how many must be women so that both classes have the same ratio of women to men
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8 women in 20 students corresponds to 12 women in 30 students. There are half as many again in the afternoon class.
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The ratio in the morning class is 8:12. If you simplify that, divide each unit by 4 and the result is 2:3.
If there are 30 students in the afternoon class, just apply that ratio and you will have the number of men compared to the number of women.
The answer is 12. Were you able to figure it out? Do you understand how this type of problem works? Could you do it with another set of figures?
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You have 50% more students in the afternoon class–so, that many more women would be 12, with 18 men (which adds up to 30, by the way). 12 women, 18 men. In each class, you have 2/3 as many women as men.
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morning class ratio => 8:12 = 2:3
afternoon class must have 12 women, 18 men to have same ratio => 12:18 = 6:9 = 2:3
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4 years ago
in college a million: 8 pupils out of 20 are women…. so we write this as 8/20 (its a fragment)… shrink it to 2/5. in college 2: X pupils out of 30 are women…. so x/30 (its a fragment) we use ‘X’ cuz it somewhat is the variety we could prefer to discover. Write the fraction next to a minimum of one yet another: 2/5 = x/30 multiply the two diagonally via the 30. Then divide back in the process to the 5 via the tip result. 2×30= 60 60/5= 12 keep in mind x/y = a/b x * b / y = a
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8/20 = 40% = 0.4
12/20 = 60% = 0.6
x/30 = 0.4 –> 4/10*30 = x
y/30 = 0.6 –> 6/10*30 = y
x = 12, y = 18
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20 / 8 = 10 / 4 = 0.4
20 / 12 = 10 / 6 = 0.6
30 / x = 0.4 OR 30 * 0.4 = x
30 / y = 0.6 OR 30 * 0.6 = y
x = 12
y = 18
CHECK:
8 / 12 = 0.67
18 / 12 = 0.67
12 / 8 = 1.5
18 / 12 = 1.5
Hope I helped!!!
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