Question

If the mean weight of 4 backfield members on the football team is 221 lb and the mean weight of the 7 other players is 202 lb, what is the mean weight of the 11-person team?

Answer 1

I do not know what is the answer

Explanation:

I need answers

Answer 2

Let
`x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9, x_(10), x_(11)` be the weight of i-th player.

1. If the mean weight of 4 backfield members on the football team is 221 lb, then

`(x_1+x_2+x_3+x_4)/(4)=221\ lb.`

2. If the mean weight of the 7 other players is 202 lb, then

`(x_5+x_6+x_7+x_8+x_9+x_(10)+x_(11))/(7)=202\ lb.`

3. From the previous statements you have that

`x_1+x_2+x_3+x_4=221\cdot 4=884 \lb,\\ \\x_5+x_6+x_7+x_8+x_9+x_(10)+x_(11)=202\cdot 7=1414\ lb.`

Add these two equalities and then divide by 11:

`x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_(10)+x_(11)=884+1414=2298\ lb,\\ \\(x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_(10)+x_(11))/(11)=(2298)/(11)=208(10)/(11)\ lb.`

Answer: the mean weight of the 11-person team is
`208(10)/(11)\ lb.`