In a school cafeteria, the ratio of students who prefer pizza to those who prefer sandwiches is 3:2. If there are 150 students in total, how many students prefer sandwiches
Question
In a school cafeteria, the ratio of students who prefer pizza to those who prefer sandwiches is 3:2. If there are 150 students in total, how many students prefer sandwiches
Solution
To solve this problem, we first need to understand that the ratio of students who prefer pizza to those who prefer sandwiches is 3:2. This means that for every 5 students, 3 prefer pizza and 2 prefer sandwiches.
Step 1: Add the two parts of the ratio together. 3 (for pizza) + 2 (for sandwiches) = 5.
Step 2: Divide the total number of students by the sum of the ratio. 150 students ÷ 5 = 30. This means that each part of our ratio represents 30 students.
Step 3: To find the number of students who prefer sandwiches, multiply the number of sandwich parts (2) by the number of students each part represents (30). 2 x 30 = 60.
So, 60 students prefer sandwiches.
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