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Ratling [72]
2 years ago
5

Denise bought a T-shirt at the sale price of $21.08. This represents a 15% decrease in price. What was the original price of the

shirt?
Mathematics
1 answer:
Rina8888 [55]2 years ago
4 0

Answer:

100% - 15 % = 85 %

So, $21.08 represents the 85% sale price

What number represents the other 15% of the original price?

(21.08 x 15) / 85 = 3. 72

$21.08 + $3.72 = $24.80 which is the original price.

Step-by-step explanation:

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Answer:

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

Step-by-step explanation:

Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.

Given;

N(A) = 150

N(B) = 204

N(C) = 206

N(A∩B) = 75

N(A∩C) = 100

N(B∩C) = 98

N(A∩B∩C) = 38

N(Total) = 500

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

N(AUC∩B')

This can be derived by first finding;

N(AUC) = N(A) + N(C) - N(A∩C)

N(AUC) = 150+206-100 = 256

Also,

N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135

N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

See attached venn diagram for clarity.

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part

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