The average height of 251 students of a school is 48. If the average of the height of the boys is 51 and the average of the height of the girls is 29, then what will be the ratio of the total height of the boys and the total height of the girls respectively.
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Answer:
Total height of 252 students = Average × Number of students = 252 × 48
Let the number of boys be x and the number of girls be (252 - x)
Total height of boys = Average height of boys × Number of boys = 51 × x
Total height of girls = Average height of girls × Number of girls = 30 × (252 - x)
Now,
252 × 48 = 51 × x + 30 × (252 - x)
⇒ 252 × 48 - 252 × 30 = 51x - 30x
⇒ Number of boys = x = 216
Total height of boys = 216 × 51 = 11016
Number of girls = 36
Total height of girls = 36 × 30 = 1080
∴ Required ratio = 51 : 5
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323/29
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