1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
musickatia [10]
3 years ago
9

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 149 li

ke Snickers, 186 like Twix, 134 like Reese's Peanut Butter Cups, 70 like Snickers and Twix, 82 like Twix and Reese's Peanut Butter Cups, 31 like Snickers and Reese's Peanut Butter Cups, and 19 like all three kinds of chocolate candy. How many students like Reese's Peanut Butter Cups or Snickers, but not Twix?
Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

109 students like Reese's Peanut Butter Cups or Snickers, but not Twix.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of this set.

I am going to say that:

-The set A represents the students that like Snickers.

-The set B represents the students that like Twix.

-The set C represents the students that like Reese's Peanut Butter.

We have that:

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

In which a is the number of student that only like Snickers, A \cap B is the number of students that like both Snickers and Twix, A \cap C is the number of students that like both Reese's and Snickers. And A \cap B \cap C is the number of students that like all these flavors.

By the same logic, we have:

B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

How many students like Reese's Peanut Butter Cups or Snickers, but not Twix?

This are those who like any of these two or both. So:

a + b + (A \cap C)

We start finding the values from the intersection of three sets.

19 like all three kinds of chocolate candy. This means that

(A \cap B \cap C) = 19

31 like Snickers and Reese's Peanut Butter Cups: This means that

(A \cap C) + (A \cap B \cap C) = 31

(A \cap C) = 12

82 like Twix and Reese's Peanut Butter Cups

(B \cap C) + (A \cap B \cap C) = 82

(B \cap C) = 73

70 like Snickers and Twix

(A \cap B) + (A \cap B \cap C) = 70

(A \cap B) = 51

134 like Reese's Peanut Butter Cups

C = 134

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

c + 12 + 73 + 19 = 134

c = 30

149 like Snickers

A = 149

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

a + 51 + 12 + 19 = 149

a = 67

How many students like Reese's Peanut Butter Cups or Snickers, but not Twix?

a + b + (A \cap C) = 67 + 30 + 12 = 109

109 students like Reese's Peanut Butter Cups or Snickers, but not Twix.

You might be interested in
Write an equation for this model and solve for `x`
WARRIOR [948]
The equation is -5x = 4

x = -0.8

4 0
2 years ago
For a school play, 739 tickets valued at $857 were sold. Some cost $1 and others cost a $1.50. How many $1 tickets were sold?
balu736 [363]

Answer:

503 $1 tickets sold.

Step-by-step explanation:

Use two equations  

Let x = number of $1 tickets sold  

Let y = number of $1.50 tickets sold  

x + y = 739  

1x + (1.5)y = 857  

First equation ==> y = 739 - x  

Plug this into the second equation  

x + (1.5)(739 - x) = 857  

x + 1108.5 - 1.5x = 857  

- 0.5x = -251.5  

x = 503  

There were 503 $1 tickets sold.  

To find the number of $1.50 tickets, just plug this value of x into either one of the equations.  

(503) + y = 739       (739 - 503 = 236)

y = 236  

There were 236 $1.50 tickets sold.

3 0
3 years ago
8 + z = 19. step equations
steposvetlana [31]

Answer:

11

Step-by-step explanation:

First subtract

19-8= Z

So solution would be

Z=11

7 0
3 years ago
Read 2 more answers
Please help. science/math.
Aleonysh [2.5K]
The correct answer is 85
7 0
3 years ago
Read 2 more answers
Whats -1.8 as a fraction?
OleMash [197]

Answer:

-18/10

Step-by-step explanation:

Please mark me BRAINLIEST

5 0
2 years ago
Read 2 more answers
Other questions:
  • Which number line shows the graph of -0.7
    6·2 answers
  • What is 11.5 times 30
    14·2 answers
  • Whats the average of the following? 101, 15,62,84 and 55
    12·2 answers
  • Which expression shows that 11+7=5+13?
    15·2 answers
  • Help.? please, i dont understand.
    5·2 answers
  • Mr. Martin’s math test which is worth 100 points has 29questions. Each problem is worth 2points or 5 points. X represents number
    15·1 answer
  • Hshejoffpeowhwbwbwhjskfofofoekwwoksnfnf Helppp
    9·1 answer
  • 4(3x + 4) - 2x = 24<br> PLSS answer
    13·1 answer
  • Look at the coordinate plane. Which quadrant is the point (-3, 2) in?
    7·2 answers
  • 5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!