Součková 21673

Ms. Součková bought 6 orange and 5 apple juices and paid a total of 254 CZK. Mrs. Derner bought 6 apple juice and 5 orange juice and paid CZK 2 less for them than Mrs. Součková. How much did each juice cost?

Correct answer:

j =  22
p =  24

Step-by-step explanation:


6p+5j=254
6j+5p = 254-2

6·p+5·j=254
6·j+5·p = 254-2

5j+6p = 254
6j+5p = 252

Pivot: Row 1 ↔ Row 2
6j+5p = 252
5j+6p = 254

Row 2 - 5/6 · Row 1 → Row 2
6j+5p = 252
1.83p = 44


p = 44/1.83333333 = 24
j = 252-5p/6 = 252-5 · 24/6 = 22

j = 22
p = 24

Our linear equations calculator calculates it.



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