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the mean height of a girl and 6 boys is 168cm. The mean height of 6 boys is 172cm. What is the height of the girl?

2007-03-04 00:43:33 · 5 answers · asked by Sinead K 2 in Education & Reference Homework Help

5 answers

total ht of G+6B
= 168 x 7
= 1176

total ht of 6B
= 172 x 6
=1032

ht of girl
= 1176 - 1032
= 144!

2007-03-04 01:11:32 · answer #1 · answered by befuzzy87 2 · 0 0

my guess is 144cm.

If the mean height of the 7 people is 168cm.
the total height would be 7x168=1176cm

Total Height of the 6 boys would be 6x172=1032cm

That leaves the girl, which height 1176-1032= 144cm.

Hope thats the right answer!! Correct me if i'm wrong!!

2007-03-04 08:53:13 · answer #2 · answered by Frost 3 · 0 0

Okay here goes...

Let G = girl's heigt
Let B = boys average height

Equation#1: (G + 6B) / 7 = 168

Equation #2: 6B / 6 = 172

By Equation #2, B = 172

So...

By Equation#1: (G + 6 (172) ) / 7 = 168 [Substitution]

(G + 1032) / 7 = 168 [Simplify]

G + 1032 = 7(168) [Simplify]

G + 1032 = 1176 [Simplify]

G = 144 cm [Subtract 1032 from both sides]

2007-03-04 09:05:14 · answer #3 · answered by Friend_88 3 · 0 0

140

2007-03-04 11:39:19 · answer #4 · answered by pooja 2 · 0 0

140cm

2007-03-04 08:51:29 · answer #5 · answered by You-Know-Who 2 · 0 0

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