Question

In a group of 50 patrons, 12 patrons like lattes and espressos, 9 patrons like espressos and cappuccinos, 8 patrons like lattes and cappuccinos, and 4 patrons like all 3 coffee drinks. Altogether, 20 patrons like lattes, 22 patrons like espressos, and 17 patrons like cappuccinos. How many patrons don't like any of these coffee drinks?
A. 18
B. 14
C. 12
D. 16

Answer 1

Are you familiar with Venn diagrams?

Answer 2

yes a little

Answer 3

I'll start the diagram, and we will work together to fill the numbers, is that ok for you?

Answer 4

ya

Answer 5

ok, now it's your turn to put in as many numbers as you can from the given question. You can proceed.

Answer 6

If you have doubts, just ask.

Answer 7

I'll give you a hint by putting in:
"4 patrons like all three coffee drinks" in the middle.

Does that help?

Answer 8

You will notice that the "4" is placed in a location which is inside all three circles. Each circle represents a coffee drink. So being inside all circles mean symbolically that 4 patrons like all three drinks. You can choose other locations to indicate the number of patrons who like certain combination of drinks.

Answer 9

@hau.li are you still there?

Answer 10

yes aha

Answer 11

Would you like to fill in some numbers?

Answer 12

how do i show you what i have?

Answer 13

you can click on the button with a pencil at the top of the picture and fill the numbers using the drawing tool.