A survey found that 12 out of 15 people prefer hamburgers over pizza. If 65 people are surveyed the next week, how many people will choose hamburgers?
How do I work this problem?
Two ways to work the problem.
12/15 = 4/5 = 0.8
0.8 * 65 = 52
OR
12/15 = x/65
Cross multiply and solve for x.
To solve this problem, we can use the concept of ratios and proportions.
Step 1: Calculate the ratio of people who prefer hamburgers to those who prefer pizza. In this case, we have 12 people who prefer hamburgers out of a total of 15 people surveyed:
Ratio of hamburger lovers = 12/15
Step 2: Apply the calculated ratio to the new number of people who will be surveyed the next week. The problem states that 65 people will be surveyed, so we can set up a proportion:
12/15 = x/65
Step 3: Solve for x by cross-multiplying and then dividing:
(12 * 65)/15 = x
780/15 = x
x = 52
Therefore, if 65 people are surveyed the next week, we can estimate that approximately 52 people will choose hamburgers based on the previous survey results.
Note: It's important to remember that this is an estimation based on the assumption that the preference ratio remains the same for the larger sample.