Book purchase calculation

20 books for 262 euros
One species for 11.60 euros
Two species for 13.60 euros
how many books to buy for 11.6O euros and how many for 13.6O euros

Final Answer:

a =  5
b =  15

Step-by-step explanation:


20 = a+b
262 = 11.60 a + 13.60b

20 = a+b
262 = 11.60·a + 13.60·b

a+b = 20
11.6a+13.6b = 262

Pivot: Row 1 ↔ Row 2
11.6a+13.6b = 262
a+b = 20

Row 2 - 1/11.6 · Row 1 → Row 2
11.6a+13.6b = 262
-0.17b = -2.59


b = -2.5862069/-0.17241379 = 15
a = 262-13.6b/11.6 = 262-13.6 · 15/11.6 = 5

a = 5
b = 15

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