The average height of 50 bats is 126 cm. Some bats of average height 120 cm are removed. If the new average height is 130 cm, then how many bats are remaining?

The average height of 50 bats is 126 cm. Some bats of average height 120 cm are removed. If the new average height is 130 cm, then how many bats are remaining?
1). 12
2). 20
3). 16
4). 30

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Guest · Answer 1 · 2019-06-08 07:35:23

Average Height of 50 bats = sum of height of 50 bats/number of bats

⇒ 126 = Sum of height of 50 bats/50

⇒ Sum of height of 50 bats = 6300

Now,

Let x bats of average height 120 cm are removed, then

⇒ Sum of heights of x bats = average × number of bats = 120x

Also,

⇒ Remaining bats = 50 - x

⇒ Sum of heights of (50 - x) bats = average × number of bats = 130(50 - x) = 6500 - 130x

According to question,

⇒ 6300 = 120x + 6500 - 130x

⇒ 10x = 200

⇒ x = 20

∴ Remaining bats = 50 - 20 = 30

The average height of 50 bats is 126 cm. Some bats of average height 120 cm are removed. If the new average height is 130 cm, then how many bats are remaining?

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