Tangerines 3249

The bowl with tangerines weighs 16 kg. When the cook dispenses 2/3 of the tangerines in the school cafeteria, the bowl with the rest of the tangerines weighs only 8 kg. What is the weight of an empty bowl?

Correct answer:

x =  4 kg

Step-by-step explanation:


16 = x+y
x + y/3 = 8

x+y = 16
3x+y = 24

Pivot: Row 1 ↔ Row 2
3x+y = 24
x+y = 16

Row 2 - 1/3 · Row 1 → Row 2
3x+y = 24
0.67y = 8


y = 8/0.66666667 = 12
x = 24-y/3 = 24-12/3 = 4

x = 4
y = 12

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