Someone bought 7 ears of corn and 6 oranges for $3.66. At the same time a second person bought 10 ears of corn and 3 oranges for $3.39. Find the price of each.

Question

Answer: oranges would be .78 cents and corn would be .41 cents each

Answer 1

You could have easily checked your answer by replacing them in the original question.

here is what I did:

7c + 6o = 366 , I will work in cents
10c + 3o = 339

double the 2nd:
20c + 6o = 678
7c + 6o = 366
subtract them:
13c = 312
c = 24

back into 1st:
7c + 6o = 366
7(24) + 6o = 366
168 + 6o = 366
6o = 198
o = 33

oranges cost 33 cents and corn costs 24 cents

check"
7(24) + 6(33) = 366 , check!
10(24) + 3(33) = 339, check!

do your previous questions the same way

Answer 2

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