150 people at a Chennai station canteen were asked about tea, coffee and juice. The note gives each drink's total, 22 people drink none, and the lens parts show those who drink exactly two. How many drink all three?

Question

Accepted Answer

13. At least one drink = 150 - 22 = 128. Adding the three totals 70 + 58 + 50 = 178 counts every exactly-two person twice and every all-three person three times: 178 = 128 + (10 + 8 + 6) + 2x, so 2x = 26 and x = 13. 26 forgets to halve, 50 is 178 - 128, and 24 is the exactly-two total.

150 people at a Chennai station canteen were asked about tea, coffee and juice. The note gives each drink's total, 22 people drink none, and the lens parts show those who drink exactly two. How many drink all three?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Venn Diagrams practice