Tony made 14 L of lemonade for a party. His guests drank 9,500mL, start of the lemonade.
2 answers:
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Answer:
a. Take a grid that shows represents the amount of money Frank has,
Say F,
( shown below ),
b. Since, Marissa has twice as much money as Frank,
So, the amount Marissa has = 2F
If M represents the amount Marissa has,
M = 2F
c. Now, Christina has $20 more than Marissa,
Add 20 to the grid M
d. The below diagram provides enough information to determine the value of the variable m
e. The amount Christina has = M + 20 = 2F + 20
According to the question,
2F + 20 = 100
2F = 80
F = 40
Hence, the amount frank has = $ 40,
Amount Marissa has = 2(40) = $ 80,
Answer:
1. A Venn diagram is attached. The amount of people that have health insurance and is confident about the economy is 287.
2. The amount of people that have health insurance and is not confident about the economy is 116.
3. The amount of people that have health insurance or is confident about the economy is 437.
Step-by-step explanation:
1) Using sets theory, we know:
U: 500 people surveyed
A: people who is confident in the economy
B: people that have health insurance
A' and B': people who is not confident in the economy and don't have health insurance.
A=321
B=403
A' and B' =63
In the attached picture we can see a Venn diagram that represents the situation. In order to obtain the intersection of both sets A∩B, we calculate:
(321 - x) + (403 - x) + x + 63 = 500
321 - x + 403 - x + x + 63 +x -500 = 500 +x - 500
321 + 403 + 63 -500 = x
x= 287
2) The amount of people that have health insurance and is not confident about the economy is given by the intersection of the complement of set A and set B:
A' ∩ B can be calculated as:
B - (A ∩ B)= 403 - 287= 116
3) The amount of people that have health insurance or is confident about the economy is given by:
(A∪B) = (A) + (B) - (A ∩ B)
(A∪B) = 321 + 403 - 287= 437
