Merchant 6730

A merchant sells a blend of tea. Kilogram for 450 CZK. Another species for 900 CZK. Cheaper for 369 CZK. How much tea must you buy per 5 kg of the mix?

Correct answer:

a =  4.2373
b =  0.7627

Step-by-step explanation:


a+b = 5
369a + 900b = 5·450

a+b = 5
369·a + 900·b = 5·450

a+b = 5
369a+900b = 2250

Pivot: Row 1 ↔ Row 2
369a+900b = 2250
a+b = 5

Row 2 - 1/369 · Row 1 → Row 2
369a+900b = 2250
-1.44b = -1.1


b = -1.09756098/-1.43902439 = 0.76271186
a = 2250-900b/369 = 2250-900 · 0.76271186/369 = 4.23728814

a = 250/59 ≈ 4.237288
b = 45/59 ≈ 0.762712

Our linear equations calculator calculates it.



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