Thirty-five 18643

Thirty-five people took part in the business trip. They paid a total of €246. The journey price for employees was €6, and for a family member, €9. How many employees were on tour? I will also ask for the procedure.

Correct answer:

z =  23

Step-by-step explanation:


z+p=35
246 = 6z+9p

z+p=35
246 = 6·z+9·p

p+z = 35
9p+6z = 246

Pivot: Row 1 ↔ Row 2
9p+6z = 246
p+z = 35

Row 2 - 1/9 · Row 1 → Row 2
9p+6z = 246
0.33z = 7.67


z = 7.66666667/0.33333333 = 23
p = 246-6z/9 = 246-6 · 23/9 = 12

p = 12
z = 23

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