In a class of 40 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 20% of the total number of students. How many sweets were there?
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When dealing with percentages of a group, multiply the percentage by the total number to find individual amounts.
Sum the quantities for all groups to get the total.
Given:
- Total students = 40
- Total teachers = 5 Step 1: Calculate sweets per student
Each student got sweets equal to 15\% of total students
= 15\% of 40 = $\frac{15}{100} \times 40 = 6$ sweets per student Step 2: Calculate sweets per teacher
Each teacher got sweets equal to 20\% of total students
= 20\% of 40 = $\frac{20}{100} \times 40 = 8$ sweets per teacher Step 3: Calculate total sweets
Total sweets for students = $40 \times 6 = 240$
Total sweets for teachers = $5 \times 8 = 40$
Total sweets = 240 + 40 = 280
Hence, the total number of sweets is 280.