Increased 17813

The price of one meter of fabric increased by CZK 40, so three meters for the new fee were CZK 60 cheaper than four meters for the original price. What was the original, and what was the new cost of the substance?

Correct answer:

a =  180
b =  220

Step-by-step explanation:


b= 40+a
3b = 4a-60

b= 40+a
3·b = 4·a-60

a-b = -40
4a-3b = 60

Pivot: Row 1 ↔ Row 2
4a-3b = 60
a-b = -40

Row 2 - 1/4 · Row 1 → Row 2
4a-3b = 60
-0.25b = -55


b = -55/-0.25 = 220
a = 60+3b/4 = 60+3 · 220/4 = 180

a = 180
b = 220

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