They bought

Students bought sets of notebooks for a total of 65 euros. One type of set costs €2 and another costs €3. There were five times as many €2 sets as €3 sets. How many sets were bought in total?

Final Answer:

a =  25
b =  5

Step-by-step explanation:


2a+3b=65
a=5b

2·a+3·b=65
a=5·b

2a+3b = 65
a-5b = 0

Row 2 - 1/2 · Row 1 → Row 2
2a+3b = 65
-6.5b = -32.5


b = -32.5/-6.5 = 5
a = 65-3b/2 = 65-3 · 5/2 = 25

a = 25
b = 5

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