Scholarship

The annual scholarship for the best and second-best student in the class is 3500 euros. The best student scholarship in 8 months is the same as the second-best student scholar in the class for the whole year. How big is the annual scholarship to be the first and second-best student in the class?

Final Answer:

a =  2100
b =  1400

Step-by-step explanation:


a+b = 3500
8/12·a = b

a+b = 3500
8a-12b = 0

Pivot: Row 1 ↔ Row 2
8a-12b = 0
a+b = 3500

Row 2 - 1/8 · Row 1 → Row 2
8a-12b = 0
2.5b = 3500


b = 3500/2.5 = 1400
a = 0+12b/8 = 0+12 · 1400/8 = 2100

a = 2100
b = 1400

Our linear equations calculator calculates it.



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