A village has 1800 villagers, with an average height of 175 cm. The average height of the males is 178 cm; while that of the females is 170 cm. How many males does the village have?
Explanation:
Let the number of males in the village = m.
⇒ 178m+170(1800-m)1800 = 175
⇒ 178m + 170 × 1800 – 170m = 175 × 1800
⇒ 8m = 175 × 1800 – 170 × 1800
⇒ 8m = 5 × 1800
⇒ m = 1125
Hence, option (a).
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