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24 Dec 2021, 07:00
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12 Days of Christmas GMAT Competition with Lots of Fun
The average weight of a group of five students was 60 pounds. Three new students joined and the average weight of the group increased by five pounds. If no student weighs more than 90 pounds, what can be the minimum possible weight of the lightest of the three new students?
A. 30
B. 40
C. 50
D. 60
E. 70
The average weight of a group of five students was 60 pounds. Three new students joined and the average weight of the group increased by five pounds. If no student weighs more than 90 pounds, what can be the minimum possible weight of the lightest of the three new students?
A. 30
B. 40
C. 50
D. 60
E. 70
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General Discussion
24 Dec 2021, 07:10
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Given: The average weight of a group of five students was 60 pounds. Three new students joined and the average weight of the group increased by five pounds.
Asked: If no student weighs more than 90 pounds, what can be the minimum possible weight of the lightest of the three new students?
The average weight of a group of five students was 60 pounds.
The total weight of the group of five students = 60 * 5 = 300 pounds
Three new students joined and the average weight of the group increased by five pounds.
The total weight of the group of eight students = (60+5) * (5+3) = 65*8 = 520 pounds
The total weight of 3 new students = 520 - 300 = 220 pounds
To minimise the weight of 1 student, we have to maximise weight of other 2 students.
Since No student weighs more than 90 pounds,let us assume that weight of the other 2 students is 90 pounds each.
The minimum possible weight of the student = 220 - 2*90 = 220 - 180 = 40 pounds
IMO B
Asked: If no student weighs more than 90 pounds, what can be the minimum possible weight of the lightest of the three new students?
The average weight of a group of five students was 60 pounds.
The total weight of the group of five students = 60 * 5 = 300 pounds
Three new students joined and the average weight of the group increased by five pounds.
The total weight of the group of eight students = (60+5) * (5+3) = 65*8 = 520 pounds
The total weight of 3 new students = 520 - 300 = 220 pounds
To minimise the weight of 1 student, we have to maximise weight of other 2 students.
Since No student weighs more than 90 pounds,let us assume that weight of the other 2 students is 90 pounds each.
The minimum possible weight of the student = 220 - 2*90 = 220 - 180 = 40 pounds
IMO B
