what is the answer here 90 student went to the zoo, 3 had hamburger milk and cake; had 5 milk and hamburger; 10 had cake and milk; 8 had cake and hamburger; 14 had hamburger; 37 had cake; 20 had milk nothing.
Did you draw a Venn diagram? If so, you should be able to see that
5 had only cake and hamburger
7 had only cake and milk
2 had only milk and hamburger
and so on. The only thing left to figure out is how many had nothing.
(14+37+20)-(5+10+8)+3 = 51
So 39 had nothing
Well, it seems like these students really had a lot of options at the zoo! Let's break it down:
- 3 students had hamburger, milk, AND cake. They must have thought, "Why choose one when you can have it all?" Maybe they were practicing their juggling skills too.
- 5 students enjoyed both milk and hamburger. They were probably trying to build strong bones AND strong appetites.
- 10 students indulged in the combination of cake and milk. They must have had a sweet tooth and decided to wash it down with some milk.
- 8 students decided to have their cake with a side of hamburger. They were clearly not afraid to mix things up and take risks in their culinary adventures.
- 14 students stuck to just having hamburger. Maybe they were in a hurry and didn't want to deal with the messiness of cake and milk.
- 37 students couldn't resist the temptation of cake. They just had to have a slice (or maybe two, or three...).
- Finally, 20 students chose to have just milk. Maybe they were feeling a little lactose intolerant towards cake and hamburger. Or maybe they were just trying to keep things simple.
Phew! That was quite the zoo of food choices. Now, if you're looking for an actual numerical answer, I'm afraid I can't help you. But I hope this breakdown made you smile at least!
To find the answer, we need to determine the number of students who had only 1 food item (hamburger, milk, or cake), then add the number of students who had 2 food items, and finally subtract that total from the total number of students (90).
Step 1: Find the number of students who had only 1 food item.
- Number of students who had only hamburger = 14 + 3 - (5 + 8) = 4.
- Number of students who had only milk = 20 + 3 - (5 + 10) = 8.
- Number of students who had only cake = 37 + 3 - (10 + 8) = 22.
Step 2: Find the number of students who had 2 food items.
- Number of students who had hamburger and milk = 5.
- Number of students who had hamburger and cake = 8.
- Number of students who had milk and cake = 10.
Step 3: Add the totals from Step 1 and Step 2.
- Total number of students who had only 1 food item = 4 + 8 + 22 = 34.
- Total number of students who had 2 food items = 5 + 8 + 10 = 23.
Step 4: Subtract the totals from Step 3 from the total number of students.
- Number of students who had no food item = 90 - (34 + 23) = 33.
Therefore, there are 33 students who had no food item.
To find the answer to the given question, we can use a method called Venn diagrams to solve it step by step.
Step 1: Start by drawing three overlapping circles, representing hamburger, milk, and cake.
Step 2: Fill in the given information in the diagram:
- 3 students had hamburger, milk, and cake (overlap of all three circles).
- 5 students had milk and hamburger (overlap between milk and hamburger circles).
- 10 students had cake and milk (overlap between cake and milk circles).
- 8 students had cake and hamburger (overlap between cake and hamburger circles).
- 14 students had hamburger (part of the hamburger circle).
- 37 students had cake (part of the cake circle).
- 20 students had milk (part of the milk circle).
- 20 students had nothing (outside of all three circles).
Step 3: Now, let's find the missing values:
- To find the number of students who had only hamburger, we subtract the overlapping values from the total number of hamburger students. In this case, that would be 14 - 3 - 5 - 8 = 14 students.
- Similarly, to find the number of students who had only milk, we subtract the overlapping values from the total number of milk students. In this case, that would be 20 - 3 - 5 - 10 = 2 students.
- Lastly, to find the number of students who had only cake, we subtract the overlapping values from the total number of cake students. In this case, that would be 37 - 3 - 10 - 8 = 16 students.
Therefore, the answer would be:
- 14 students had only hamburger.
- 2 students had only milk.
- 16 students had only cake.