Fabric purchase calculation

Krejčová bought a total of 13 m of double-colored fabric for 1,037 euros. One meter of blue fabric costs 89 euros, and one meter of gray fabric costs 74 euros. How many meters of blue and how many meters of gray fabric did the seamstress buy?

Final Answer:

a =  5
b =  8

Step-by-step explanation:

13 = a+b
1037= 89a+74b

13 = a+b
1037= 89·a+74·b

a+b = 13
89a+74b = 1037

Pivot: Row 1 ↔ Row 2
89a+74b = 1037
a+b = 13

Row 2 - 1/89 · Row 1 → Row 2
89a+74b = 1037
0.17b = 1.35


b = 1.34831461/0.16853933 = 8
a = 1037-74b/89 = 1037-74 · 8/89 = 5

a = 5
b = 8

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