Classmates 8383

Katka bought cinema tickets for her classmates. She bought 7 tickets for Thursday and 5 for Friday for the boy and paid 186 CZK. For the girls, she bought 11 tickets for Thursday and 4 tickets for Friday and paid 246 CZK. How much was the ticket for Thursday, and how much for Friday?

Correct answer:

a =  18
b =  12

Step-by-step explanation:


7a+5b = 186
11a + 4b = 246

7·a+5·b = 186
11·a + 4·b = 246

7a+5b = 186
11a+4b = 246

Pivot: Row 1 ↔ Row 2
11a+4b = 246
7a+5b = 186

Row 2 - 7/11 · Row 1 → Row 2
11a+4b = 246
2.45b = 29.45


b = 29.45454545/2.45454545 = 12
a = 246-4b/11 = 246-4 · 12/11 = 18

a = 18
b = 12

Our linear equations calculator calculates it.



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