During the lunch hour at Yellowbelly Chicken, 60% of customers ordered the Fried

Question

During the lunch hour at Yellowbelly Chicken, 60% of customers ordered the Fried White Chicken and 70% ordered the Smashed Potatoes Fries. 40% of those that did NOT order the Fried White Chicken ordered the Smashed Potato Fries. What percent of customers ordered Smashed Potato Fries but NOT the Fried White Chicken? a. b. What percent of customers ordered neither the Fried White Chicken or the Smashed Potato Fries? Of the customers who ordered Fried White Chicken, what percent ordered the Smash Potato Fries? c.

Explanation / Answer

Percentage of customers who ordered Fried White Chicken = 60%

n(F) = 60%

Percentage of customers who did not order Fried White Chicken = 100% - 60% = 40%

n(Fc) = 40%

Percentage of customers who ordered Smashed Potatoes Fries = 70%

n(S) = 70%

a)

Percentage of customers who ordered only Smashed Potatoes Fries but not Fried White Chicken= 40% 0f those who did not order the Fried White Chicken = 40% of 40% = (40/100)(40%) = 16%

n(S Fc) = 16%

b)

n(S F) = n(S) -n(S Fc) = 70% - 16% = 54%

we know that n(S U F) = n(S) + n(F) - n(S F)

n(S U F) = 70% +60% - 54% = 76%

so percentage of customers who ordered either Fried White Chicken or Smashed Potatoes Fries = 76%

so percentage of customers who ordered neither Fried White Chicken nor Smashed Potatoes Fries = 100% - 76%

= 24%

c)

Percentage of customers who ordered Fried White Chicken = 60%

Percentage of customers who ordered Fried White Chicken and Smashed Potatoes Fries = n(S F) = 54%

Percentage of customers who also ordered Smashed Potatoes Fries among the customers who ordered Fried White Chicken = (54/60)*100 = 90%

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