Multiple choice

During a school trip, a group consisting of 12 students, their coach, and a chaperone discussed their ages while enjoying their outing. They found that the average age of the entire group, which includes the coach and the chaperone, is 17 years. Among the students, the first eight have an average age of 16 years, while the remaining four students have an average age of 14 years. Additionally, the chaperone is six years younger than the coach. What is the age of the coach?

  1. 20 years

  2. 24 years

  3. 30 years

  4. 32 years

  5. 36 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total age = 14 people * 17 = 238. Students' total = 8*16 + 4*14 = 128 + 56 = 184. Coach + Chaperone = 238 - 184 = 54. Let Coach be C, Chaperone is C-6. C + C - 6 = 54, 2C = 60, C = 30.

AI explanation

The total age for all 14 people on the trip is 14 multiplied by 17, which equals 238 years. The total age of the 12 students is the sum of 8 multiplied by 16 and 4 multiplied by 14, resulting in 184 years. The combined age of the coach and chaperone is 238 minus 184, equaling 54 years. Letting the coach's age be c and the chaperone's age be c minus 6, the equation 2c minus 6 equals 54 yields c equals 30.

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