Blueberry collection

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

Final 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

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