Expensive 82475

The alarm clock, women's watch, and men's watch cost a total of 1370 CZK. How much does each item cost if a women's watch is six times more expensive than an alarm clock and a men's watch is 200 Sk more expensive than a women's watch?

Correct answer:

b =  90
d =  540
p =  740

Step-by-step explanation:


b+d+p = 1370
d=6b
p = 200+d

b+d+p = 1370
d=6·b
p = 200+d

b+d+p = 1370
6b-d = 0
d-p = -200

Pivot: Row 1 ↔ Row 2
6b-d = 0
b+d+p = 1370
d-p = -200

Row 2 - 1/6 · Row 1 → Row 2
6b-d = 0
1.167d+p = 1370
d-p = -200

Row 3 - 1/1.16666667 · Row 2 → Row 3
6b-d = 0
1.167d+p = 1370
-1.857p = -1374.286


p = -1374.28571429/-1.85714286 = 740
d = 1370-p/1.16666667 = 1370-740/1.16666667 = 540
b = 0+d/6 = 0+540/6 = 90

b = 90
d = 540
p = 740

Our linear equations calculator calculates it.



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