A survey of 42 men was taken asking about their likes of certain female names: Amy, Beth and Cindy. It was discovered that 13 men liked the name Amy, 20 of them liked Beth, 8 liked Beth but not Cindy, 13 liked Cindy but not Beth, 7 liked Amy but not Beth, 4 liked only the name Amy and 2 liked Amy and Beth but not the name Cindy. Find the following and draw the Venn Diagram corresponding to this problem.

Ok here we go ..there are plenty of ways to solve such math problems but we will go for the smartest and easiest ..5x+2y=7  -2x+6y=9we rearrange them into the following ..by multiplying the 1st equation by 2 it becomes 10x + 4y = 14we rearrange it and so it becomes 10x = 14 - 4yas for the second equation we multiply it by 5 and rearrange it so it becomes as to the following ..-10x + 30y = 45rearranging so 10x = 30y -45now 10x equals both 14 - 4y and 30y -45so   14 - 4y = 30y -4531 = 26yy= 31/26 = 1.19 or around 1.2so by now we can calculate x easily as  -2x+6y=9so 2x = 6y -9 = 6 * 31/26 - 9 = -1.84  then x = - 0.92 or around -0.9best luck!

The correct answer is c