In a group of student, 80% of the students weighs less than 60 kg and a total of 32 students weighs less than 32 kg. If 60% of the students weigh at least 50kg, how many of the students weigh at least 50 kg but less than 60 kg?
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1
Answer:
16
Step-by-step explanation:
Let the total students are X
80% of X = 0.8X
0.8X students weigh less than 60 kg
60% of X = 0.6X
0.6X students weigh at least 50 kg
i.e. 0.4X students weigh less than 50 kg
Assuming students weighing less than 50 kg are equal to students weighing less than 32 kg i.e. there are no students with weight in between 32 kg and 50 kg
0.4X = 32
X = 32/0.4 = 320/4 = 80
Students weighing at least 50 kg but less than 60 kg
=0.8X-0.6X
=0.2X
=0.2×80
=16
Thus 16 students weigh at least 50 kg but less than 60 kg
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