SOLUTION: the average height of a class of 24 boys is 5'2''.by the admission of one new boy boy the average decreases by 1/5''.Find the height of the new boy?

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Question 1084323: the average height of a class of 24 boys is 5'2''.by the admission of one new boy boy the average decreases by 1/5''.Find the height of the new boy?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the average height of a class of 24 boys is 5'2''.
by the admission of one new boy boy the average decreases by 1/5''.Find the height of the new boy?
:
let's do this in inches: 5" 2" = 62". 1/5 = .2 inches
let x = height of the new boy in inches
%28%2824%2862%29+%2B+x%29%29%2F25 = 62 - .2
%28%281488+%2B+x%29%29%2F25 = 61.8
multiply both sides by 25
1488 + x = 1545
x = 1545 - 1488
x = 57" or 4' 9" is the new boy's height