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In a class of 75 students and 10 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 30% of the total number of students. How many sweets were there?
- a)1350
- b)1360
- c)1250
- d)1240
- e)1430
Correct answer is option 'A'. Can you explain this answer?
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In a class of 75 students and 10 teachers, each student got sweets tha...
Total number of sweets
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In a class of 75 students and 10 teachers, each student got sweets tha...
75students 20%= 75×20/100=15 ;as per given 20%more than total students so 75×15=1125sweets,similarly 75×30/100=22.5(75because given 30%more than total of students)now 10 teachers so 10×22.5=225 sweets total number =1125+225=1350
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In a class of 75 students and 10 teachers, each student got sweets tha...
To find the total number of sweets, we need to calculate the number of sweets received by the students and the number of sweets received by the teachers separately.
Number of students: 75
Number of teachers: 10
Number of sweets received by each student: 20% of total number of students
Number of sweets received by each teacher: 30% of total number of students
Let's calculate the number of sweets received by the students first.
Number of sweets received by each student:
20% of 75 = (20/100) * 75 = 15
So, each student received 15 sweets.
Number of sweets received by the teachers:
30% of total number of students = 30% of 75 = (30/100) * 75 = 22.5
Since we cannot have half a sweet, we need to round it off to the nearest whole number. In this case, we round it up to 23.
So, each teacher received 23 sweets.
Total number of sweets:
To find the total number of sweets, we need to multiply the number of sweets received by each student by the number of students and the number of sweets received by each teacher by the number of teachers, and then add them together.
Total number of sweets = (Number of students * Number of sweets received by each student) + (Number of teachers * Number of sweets received by each teacher)
= (75 * 15) + (10 * 23)
= 1125 + 230
= 1350
Therefore, the total number of sweets is 1350.
The correct answer is option 'A' - 1350.
Number of students: 75
Number of teachers: 10
Number of sweets received by each student: 20% of total number of students
Number of sweets received by each teacher: 30% of total number of students
Let's calculate the number of sweets received by the students first.
Number of sweets received by each student:
20% of 75 = (20/100) * 75 = 15
So, each student received 15 sweets.
Number of sweets received by the teachers:
30% of total number of students = 30% of 75 = (30/100) * 75 = 22.5
Since we cannot have half a sweet, we need to round it off to the nearest whole number. In this case, we round it up to 23.
So, each teacher received 23 sweets.
Total number of sweets:
To find the total number of sweets, we need to multiply the number of sweets received by each student by the number of students and the number of sweets received by each teacher by the number of teachers, and then add them together.
Total number of sweets = (Number of students * Number of sweets received by each student) + (Number of teachers * Number of sweets received by each teacher)
= (75 * 15) + (10 * 23)
= 1125 + 230
= 1350
Therefore, the total number of sweets is 1350.
The correct answer is option 'A' - 1350.
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In a class of 75 students and 10 teachers, each student got sweets that are 20% of the total number of students and each teacher got sweets that are 30% of the total number of students. How many sweets were there?a)1350b)1360c)1250d)1240e)1430Correct answer is option 'A'. Can you explain this answer?
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