Question 21: a) Find the sum of 2 and 6. b) Find the product of 6 and 3. c) Divide 2 by 5. Question 22: b)…

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Question 21: a) Find the sum of 2 and 6. b) Find the product of 6 and 3. c) Divide 2 by 5. Question 22: b) How many guests took both drinks?

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to your questions:

Question 21:

a) Find the sum of the values of 2 and 6.

Add the given values.
$2 + 6 = 8$
The sum is $\boxed{8}$ .

b) Calculate the product of the values of 6 and 3.
Multiply the given values.
$6 \times 3 = 18$
The product is $\boxed{18}$ .

c) Divide the value of 2 by the value of 5.
Perform the division.
$\frac{2}{5} = 0.4$
The result is $\boxed{0.4}$ .

Question 22:

b) How many guests took both drinks?
Identify the given information from the problem and the Venn diagram.
Total guests $N(\Sigma) = 50$ .
Guests who took soda $n(S) = 30$ .
Guests who took beer $n(B) = 25$ .
Guests who took both drinks = $Y$ .
Guests who took only soda = $30 - Y$ .
Guests who took only beer = $25 - Y$ .
Guests who took none of the drinks = 3.
Set up an equation using the total number of guests.
The total number of guests is the sum of those who took only soda, only beer, both drinks, and none of the drinks.
$N(\Sigma) = (\text{only soda}) + (\text{only beer}) + (\text{both}) + (\text{none})$ $50 = (30 - Y) + (25 - Y) + Y + 3$
Simplify the equation.
$50 = 30 - Y + 25 - Y + Y + 3$ $50 = (30 + 25 + 3) + (-Y - Y + Y)$ $50 = 58 - Y$
Solve for $Y$ .
$Y = 58 - 50$ $Y = 8$
The number of guests who took both drinks is $\boxed{8}$ .

Question 21: a) Find the sum of 2 and 6. b) Find the product of 6 and 3. c) Divide 2 by 5. Question 22: b) How many guests took both drinks?