At the office party there are twice as many males as females.
1/4 of the males are drinking wine and 3/8 of the females are drinking wine.
In total 84 people in the office drink wine.
Work out the total number of people at the party.
Answer
M = 2F
1/4 M + 3/8 F = 84
Substituting in from the first equation:
2F x ¼ + 3/8 F = 84
4F + 3F = 84 x 8 = 672
7 F = 672
F = 96
M = 2 x 96 = 192
So total at the party (assuming that no-one denies being there and everyone identifies as either male or female):
Total = 96 + 192 = 288