Question

Mr Chandra bought 2 lbs of cheddar cheese and 3 lbs of chicken loaf. He paid $26.35. Mrs Hsing paid $18.35 for 1.5 lbs of cheddar cheese and 2 lbs of chicken loaf. what was the price per pound of each item?

Answer 1

x - price per pound of cheddar cheese;
y - price per pound of chicken loaf;
2 x + 3 y = 26.35   / * 2
1.5 x + 2 y = 18.35   / * ( - 3 )
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  4 x   + 6 y  = 52.7
+
-4.5 x - 6 y = - 55.05
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- 0.5 x = - 2.35
x = 2.35 : 0.5
x = $4.7
6 y = 52.7 - 18.8
6 y = 33.9
x = 33.9 : 6
y = $5.65
Answer: Cheddar cheese costs $4.7 per pound and chicken loaf costs $5.65 per pound.