Meat

Half a kilogram of pork and three-quarters of a kilogram of beef cost a total 5.1 USD. One-quarter of a kilogram of beef and 1 kilogram of pork costs 4.9 USD. Find the price of 1 kg of each type of meat.

Correct answer:

x =  3.84 USD
y =  4.24 USD

Step-by-step explanation:


0.5 x + 3/4 y = 5.1; x + 1/4 y = 4.9

0.5·x + 3/4·y = 5.1
x + 1/4·y = 4.9

2x+3y = 20.4
4x+y = 19.6

Pivot: Row 1 ↔ Row 2
4x+y = 19.6
2x+3y = 20.4

Row 2 - 2/4 · Row 1 → Row 2
4x+y = 19.6
2.5y = 10.6


y = 10.6/2.5 = 4.24
x = 19.6-y/4 = 19.6-4.24/4 = 3.84

x = 96/25 = 3.84
y = 106/25 = 4.24

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