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Adults and children, a total of 40 people, took part in the ski trip. The tour price was 140 CZK for adults and 60 CZK for children. A total of CZK 3,200 was collected. How many children and how many adults took part in the tour?

Correct answer:

a =  30
b =  10

Step-by-step explanation:


a+b=40
140b+60a = 3200

a+b=40
140·b+60·a = 3200

a+b = 40
60a+140b = 3200

Pivot: Row 1 ↔ Row 2
60a+140b = 3200
a+b = 40

Row 2 - 1/60 · Row 1 → Row 2
60a+140b = 3200
-1.33b = -13.33


b = -13.33333333/-1.33333333 = 10
a = 3200-140b/60 = 3200-140 · 10/60 = 30

a = 30
b = 10

Our linear equations calculator calculates it.



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