Ladislav in Amsterdam

Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 1304.

Calculate how many books Ladislav could buy at the price of 32 and 22 euros if he doesn't want to fill the whole home library, and he can buy only 52 books.

Correct answer:

books by € 32:  16
books by € 22:  36

Step-by-step explanation:

x+y=52 32x+22y=1304 x=16 y=36

x+y=52
32·x+22·y=1304

x+y = 52
32x+22y = 1304

Pivot: Row 1 ↔ Row 2
32x+22y = 1304
x+y = 52

Row 2 - 1/32 · Row 1 → Row 2
32x+22y = 1304
0.31y = 11.25


y = 11.25/0.3125 = 36
x = 1304-22y/32 = 1304-22 · 36/32 = 16

x = 16
y = 36

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
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: