The cost of 12 oranges and seven apples is $5.36. Eight oranges and five apples cost $3.68. Find the cost of each

12o + 7a = 5.36

8o + 5a = 3.68

How can we eliminate either the o or the a? Let's multiply the first equation by - 2 and the second by 3.

-24o - 14a = - 10.72

24o + 15a = 11.04

Adding the two equations together ...

a = 0.32

8o + 5 (0.32) = 3.68

8o + 1.6 = 3.68

8o = 2.08

o = 0.26

Apples are 32 cents each and oranges are 26 cents each

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