Multiple choice

The average height of 16 students in a class is 142 cm. If the height of the teacher is added, the average increases by 1 cm. What is the height of the teacher (in cm)?

  1. 159 cm

  2. 149 cm

  3. 158 cm

  4. 168 cm

  5. 159.5 cm
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A Correct answer
Explanation

Total height of 16 students = 16 * 142 = 2272. New total height with teacher = 17 * 143 = 2431. Teacher's height = 2431 - 2272 = 159.

AI explanation

The total height of the 16 students is 16 multiplied by 142, which equals 2272 cm. When the teacher is added, there are 17 people and the new average is 143 cm, making the new total height 17 multiplied by 143, which equals 2431 cm. The teacher's height is the difference between the new total and the old total, so 2431 minus 2272 equals 159 cm.

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