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?

Correct 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.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: