Question 1009760
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)
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t = 31 cents for tomatoes
Then
2c + 3(31) = 111
2c + 93 = 111
2c = 18
c = 9 cents for corn