Thousand 8302

Ten thousand people came to the band. How many of them were adult students, and how many students? If adults paid CZK 300, students paid CZK 100 and paid a total of 2,300,000.

Correct answer:

d =  6500
s =  3500

Step-by-step explanation:


d+s = 10000
300d + 100s = 2300000

d+s = 10000
300·d + 100·s = 2300000

d+s = 10000
300d+100s = 2300000

Pivot: Row 1 ↔ Row 2
300d+100s = 2300000
d+s = 10000

Row 2 - 1/300 · Row 1 → Row 2
300d+100s = 2300000
0.67s = 2333.33


s = 2333.33333333/0.66666667 = 3500
d = 2300000-100s/300 = 2300000-100 · 3500/300 = 6500

d = 6500
s = 3500

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