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Karel saved CZK 4,300 a year. In the last five months of the year, he saved 100 crowns less than in the previous seven months. How much did he save first, and how much then?

Correct answer:

a =  300
b =  400

Step-by-step explanation:


4300 = 5a + (12-5)·b
a = b-100

4300 = 5·a + (12-5)·b
a = b-100

5a+7b = 4300
a-b = -100

Row 2 - 1/5 · Row 1 → Row 2
5a+7b = 4300
-2.4b = -960


b = -960/-2.4 = 400
a = 4300-7b/5 = 4300-7 · 400/5 = 300

a = 300
b = 400

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