Individual 81044

CZK 895 was paid for three ties. A blue tie was 18% more expensive than a gray one, and a brown one was CZK 100 more expensive than a gray one. Calculate the prices of individual ties.

Correct answer:

a =  295 Kc
b =  250 Kc
c =  350 Kc

Step-by-step explanation:

r=100%+18%=1+10018​=1.18  a+b+c=895 a=r⋅ b c=100+b a+b+c=895 a=1.18⋅ b c=100+b  a+b+c=895 a−1.18b=0 b−c=−100  Row2−Row1→Row2 a+b+c=895 −2.18b−c=−895 b−c=−100  Row3−−2.181​⋅ Row2→Row3 a+b+c=895 −2.18b−c=−895 −1.459c=−510.55  c=−1.4587156−510.55045872​=350 b=−2.18−895+c​=−2.18−895+350​=250 a=895−b−c=895−250−350=295  a=295 b=250 c=350

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