Two workers

Two workers make 138 parts/items. The first one produces 30% more than the second. How many items will each produce?

Correct answer:

a =  78
b =  60

Step-by-step explanation:


a+b=138
a = b + 30/100b

a+b=138
a = b + 30/100·b

a+b = 138
100a-130b = 0

Pivot: Row 1 ↔ Row 2
100a-130b = 0
a+b = 138

Row 2 - 1/100 · Row 1 → Row 2
100a-130b = 0
2.3b = 138


b = 138/2.3 = 60
a = 0+130b/100 = 0+130 · 60/100 = 78

a = 78
b = 60

Our linear equations calculator calculates it.



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