SOLUTION: Mrs. Bond bought three cans of corn and five cans of tomatoes for $1.82. The following week, she bought two cans of corn and three cans of tomatoes for $1.11, paying the same pric

Question 1009760: Mrs. Bond bought three cans of corn and five cans of tomatoes for $1.82. The following week, she bought two cans of corn and three cans of tomatoes for $1.11, paying the same prices. Find the cost of Koren and the cost of a can of tomatoes.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the prices of corn and tomatoes, c and t. Then we have
3c + 5t = 182 (use cents)
and
2c + 3t = 111
Multiply the top by two and the bottom by three and subtract them, giving us
6c + 10t = 364
-(6c + 9t = 333)
----------------
t = 31 cents for tomatoes
Then
2c + 3(31) = 111
2c + 93 = 111
2c = 18
c = 9 cents for corn
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