13 tickets

A short and long sightseeing tour is possible at the castle. A ticket for a short sightseeing circuit costs CZK 60, for a long touring circuit costs CZK 100. So far, 13 tickets have been sold for 1140 CZK. How much did you pay for tickets for a short tour?

Correct answer:

a =  240
b =  900

Step-by-step explanation:


a+b = 1140
a/60 + b/100 = 13

a+b = 1140
5a+3b = 3900

Pivot: Row 1 ↔ Row 2
5a+3b = 3900
a+b = 1140

Row 2 - 1/5 · Row 1 → Row 2
5a+3b = 3900
0.4b = 360


b = 360/0.4 = 900
a = 3900-3b/5 = 3900-3 · 900/5 = 240

a = 240
b = 900

Our linear equations calculator calculates it.



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Showing 1 comment:
Smarty
Too hard!





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