Blueberries 3843

Peter, Alex, and Clara collected 112 blueberries. Peter collected two more blueberries than Clara. But Alex collected 34 less than Clara. How much does each of them collect?

Correct answer:

A =  14
K =  48
P =  50

Step-by-step explanation:


P+A+K=112
P=2+K
A = K-34

A+K+P = 112
K-P = -2
A-K = -34

Row 3 - Row 1 → Row 3
A+K+P = 112
K-P = -2
-2K-P = -146

Pivot: Row 2 ↔ Row 3
A+K+P = 112
-2K-P = -146
K-P = -2

Row 3 - 1/-2 · Row 2 → Row 3
A+K+P = 112
-2K-P = -146
-1.5P = -75


P = -75/-1.5 = 50
K = -146+P/-2 = -146+50/-2 = 48
A = 112-K-P = 112-48-50 = 14

A = 14
K = 48
P = 50

Our linear equations calculator calculates it.



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