Discounted 17463

Grandma bought a new apron before Christmas. After Christmas, the store discounted the apron by 46%, so Grandma bought two more of the same apron. In total, she paid 540 crowns for all 3 pieces. How many crowns did the apron cost before Christmas, and how many crowns after Christmas?

Correct answer:

a =  259.6154
b =  140.1923

Step-by-step explanation:


a+2b = 540
b = a- 46/100 · a

a+2·b = 540
b = a- 46/100 · a

a+2b = 540
54a-100b = 0

Pivot: Row 1 ↔ Row 2
54a-100b = 0
a+2b = 540

Row 2 - 1/54 · Row 1 → Row 2
54a-100b = 0
3.85b = 540


b = 540/3.85185185 = 140.19230769
a = 0+100b/54 = 0+100 · 140.19230769/54 = 259.61538462

a = 3375/13 ≈ 259.615385
b = 3645/26 ≈ 140.192308

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 system of equations and are looking for calculator system of linear equations?

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

Units of physical quantities:

Grade of the word problem:

Related math problems and questions: