SOLUTION: four oranges and five apples cost $3.56. three oranges and four apples cost $2.76. find the cost of an orange and the cost of an apple.

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Question 132676This question is from textbook Algebra 1
: four oranges and five apples cost $3.56. three oranges and four apples cost $2.76. find the cost of an orange and the cost of an apple. This question is from textbook Algebra 1

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
four oranges and five apples cost $3.56. three oranges and four apples cost $2.76. find the cost of an orange and the cost of an apple.
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EQUATIONS:
4R + 5A = 3.56
3R + 4A = 2.76
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Multiply 1st by 3 and 2nd by 4 to get:
12R + 15A = 3*3.56
12R + 16A = 4*2.76
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Substract 1st from 2nd to get:
A = 0.36 (price of an apple)
Substitute to solve for R:
4R + 5*0.36 = 3.56
4R = 1.76
R = 0.44 (prince of an orange)
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Cheers,
Stan H.

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