A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. based on the results, how many of the 340 students can be expected to prefer cheese pizza?
Answers
Answer:
40 of the 68 students preferred cheese pizza, so if we let represent the number of the entire group who preferred cheese pizza, we get . We can simplify the arithmetic a little by reducing the fraction on the left side of the equation. . Thus . So we estimate that 200 students would prefer cheese pizza.
Answer:
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Step-by-step explanation:
We are told that some students were sampled and that 40 students preferred cheese pizza, while 28 students preferred pepperoni pizza. We assume that the total number of students sampled was 68 (40+28) and that there were only two choices offered.
We can set up a ratio to estimate the number of students who would prefer cheese pizza. 40 of the 68 students preferred cheese pizza, so if we let x represent the number of the entire group who preferred cheese pizza, we get 40/68=x/340 .
We can simplify the arithmetic a little by reducing the fraction on the left side of the equation. 40/68=(4*10)/(4*17)=10/17 .
Thus 10/17=x/340 ==> x=3400/17=200 . So we estimate that 200 students would prefer cheese pizza.