sameer93 wrote:
sandy wrote:
sameer93 wrote:
In a town, 80% of the men are registered voters and 66% of the women are registered voters. if 78% of the total population is a registered voter, what fraction of the population is Men?
Let assume there are 100 people in town. Let
x be the men and women
100−x.
Total voters = 78% of 100 = 78.
Number of men voters =
0.8×xNumber of women voters =
0.66×(100−x)=66−0.66xTotal voters men and women = 0.14x + 66 = 78.
x= 12/ 0.14 = 86 approx.
Hence number of men is 86 and women is 14. Hence fraction of men in population is
86100.
thank you!
If the stem SPECIFICALLY indicates approximation, then 86/100 is correct.
The following is my calculation:
0.8m +0.66w= 0.78 (m+w)
then we got 0.8m+0.66w = 0.78m +0.78w
and we do some simplication here, we got 0.02m= 0.12w
and this means that 2m= 12w -----> m=6w
then m:w = 6:1
m/w+m(total population)= 6/7
is it clear now? no approximation invloved here. SO answer 6/7 would be better, never put approximation value if the stem doesn't specify.