Question

The 225 students who passed all of their classes on the last report card will attend a one-hour Friday Fun-Day sponsored by the Parent-Teacher
Organization (PTO). A variety of activities and snacks will be provided and students will receive one prize. A random survey of 50 students was
conducted to determine how many of each prize should be purchased for the Friday Fun-Day. The results of the survey are shown.
• 28 students want a slime kit.
• 12 students want a basketball.
• 6 students want a jewelry bead kit.
• 4 students want an artist sketch pad and pencil set.
Problem
Based on the survey results, which of these is NOT a valid prediction of the prizes wanted by the 225 students?
A There are 126 students who want a slime kit.
B There are 36 fewer students that want an artist sketch pad and pencil set than a basketball.
C There are 71 students who want either a basketball or a jewelry bead kit.
D There are 27 more students who want a slime kit than all the other prizes combined.

Answer 1

Answer:

C. is incorrect.

Step-by-step explanation:

Calculate the percentages for each prize desired by the 50 students responding in the sample survey.  See the attached image for this calculation.  Multiply these percentages times the total student body of 225 students to determine the likely selection for each prize (on the attachment).

A.  is correct (126 students)

B.  is correct

C.  is incorrect.  The total is (54 + 27) = 83

D.  is true