A fisherman

A fisherman buys carnivores to fish. He could buy either six larvae and four worms for $ 132 or 4 larvae and seven worms for $ 127. What is the price of larvae and worms? Argue the answer.

Correct answer:

l =  16
w =  9

Step-by-step explanation:


6l+4w = 132
4l+7w = 127

6·l+4·w = 132
4·l+7·w = 127

6l+4w = 132
4l+7w = 127

Row 2 - 4/6 · Row 1 → Row 2
6l+4w = 132
4.33w = 39


w = 39/4.33333333 = 9
l = 132-4w/6 = 132-4 · 9/6 = 16

l = 16
w = 9

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