Trousers

Jarek bought new trousers, but the trousers were too long. Their length was in the ratio of 5:8 to Jarek's height. The mother cut his trousers by 4 cm. Thus, the original ratio decreased by 4%.

Determine Jarek's high.

Correct answer:

v =  160 cm

Step-by-step explanation:


n = 5/8 v; n-4= (5/8·(1-4/100))·v

n = 5/8·v
n-4= (5/8·(1-4/100))·v

8n-5v = 0
200n-120v = 800

Pivot: Row 1 ↔ Row 2
200n-120v = 800
8n-5v = 0

Row 2 - 8/200 · Row 1 → Row 2
200n-120v = 800
-0.2v = -32


v = -32/-0.2 = 160
n = 800+120v/200 = 800+120 · 160/200 = 100

n = 100
v = 160

Our linear equations calculator calculates it.



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