A family of seven minors and some adults has an average wheat consumption of 11.10 kg. The average consumption for minors is 5.5 kg per person, and for adults, it is 16 kg per person. Find the number of adults in the family.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 8.
Let the number of adults = x.
Total number of family members = 7 (minors) + x (adults) = 7 + x
Total wheat consumption = (7 × 5.5) + (x × 16)
Average wheat consumption = 11.10
⇒ (7×5.5)+(x×16)7+x=11.10
⇒ 38.5+16x7+x=11.10
⇒ 38.5 + 16x = 11.10 × (7 + x)
⇒ 38.5 + 16x = 77.7 + 11.10x
⇒ 16x - 11.10x = 77.7 - 38.5
⇒ 4.9x = 39.2
⇒ x = 39.24.9
⇒ x = 8