Kindergarten 7381

The municipal authority purchased 36 large and 25 small rubber balls for the children in the kindergarten. They paid as much for two large balls as for five small ones. The invoice was issued for CZK 5,980. How much did the big ball cost?

Correct answer:

a =  130
b =  52

Step-by-step explanation:


36a+25b = 5980
2a = 5b

36·a+25·b = 5980
2·a = 5·b

36a+25b = 5980
2a-5b = 0

Row 2 - 2/36 · Row 1 → Row 2
36a+25b = 5980
-6.39b = -332.22


b = -332.22222222/-6.38888889 = 52
a = 5980-25b/36 = 5980-25 · 52/36 = 130

a = 130
b = 52

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