Children 8275

Forty children and adults attended the trip. Together, they paid CZK 24,100. If children paid CZK 400 and adults CZK 700, how many adults and children would there be?

Correct answer:

a =  13
b =  27

Step-by-step explanation:


a+b = 40
400a+700b = 24100

a+b = 40
400·a+700·b = 24100

a+b = 40
400a+700b = 24100

Pivot: Row 1 ↔ Row 2
400a+700b = 24100
a+b = 40

Row 2 - 1/400 · Row 1 → Row 2
400a+700b = 24100
-0.75b = -20.25


b = -20.25/-0.75 = 27
a = 24100-700b/400 = 24100-700 · 27/400 = 13

a = 13
b = 27

Our linear equations calculator calculates it.



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