Barry asked 30 random students at his school to name their favorite ice cream flavor. Of the 30 students he asked, 20 of them preferred chocolate. Based on Barry's results, how many of the 1500 students in the school most likely prefer chocolate ice cream?

The answers to the LEAP Math Midtest- 7 (GT) are:

C
B
D
B
A
A
C
D
B
D
A
C
B
C
A
D
C
D
B
A
C
A
B
D
C
A
D
B
C
C
A
B
D
C
D
B
C
D
B
A
C
B
D
A
B
A
C
D
D
B

Wow Baby Yoda, I knew you were as smart as old Yoda

So, choice A?

Choice A?

From 30 students, 20 students ask for chocolate =30/20=1.5

From 1500 students, how many students will like chocolate =1500/1.5=1000
Answer is =1000 or option A

To determine how many of the 1500 students in the school most likely prefer chocolate ice cream based on Barry's results, we can use proportional reasoning.

Step 1: Calculate the percentage of students who prefer chocolate ice cream in Barry's sample.
To do this, divide the number of students who prefer chocolate ice cream (20) by the total number of students in Barry's sample (30) and multiply by 100:
(20/30) * 100 ≈ 66.67%

Step 2: Apply the percentage to the total number of students in the school.
To estimate the number of students who most likely prefer chocolate ice cream, multiply the percentage calculated in Step 1 (66.67%) by the total number of students in the school (1500):
(66.67/100) * 1500 = 1000

Therefore, based on Barry's results, it can be estimated that approximately 1000 students in the school most likely prefer chocolate ice cream.

Choices...

1000
1200
900
500

20/30 = 2/3 = 0.66667

1500 * 0.66667 = ?

Yes, A.