Question

FIRST TO ANSWER GETS BRAINLIEST: The average age of one hundred Year 9 students is 14 y 10 m. The average age of one hundred Year 8 students is 13 y 6 m. What is the average age, (in years and months), for the 200 combined Years 8 and 9 students? OPTIONS: .1) 14 Years 0 Months .2) 14 Years 2 Months .3) 13 Years 11 Months .4) 14 Years 8 Months .5) 13 Years 10 Months

Answer 1

Answer:

2) 14 y 2 m

Step-by-step explanation:

Year 9 students: total age= 100* 14 10/12= 1400 +100*5/6= 1483 y 8 m

Year 8 students: total age= 100* 13 6/12= 1350 y

Total age of 200 students: 1483 y 8 m + 1350 y= 2833 y 8 m

Average age= 2833  8/12  ÷ 200= (12*2833+8)/12 ÷ 200 = 34004/(12*200)= 34004/2400= 14  404/2400 ≈ 14 1/6 y= 14 y 2 m