SOLUTION: Each red basket contains 2 apples and 3 bananas. each blue basket contains 3 apples and 4 bananas. i have a total of 53 apples and 73 bananas. how many basket of each type do i hav
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Question 993300: Each red basket contains 2 apples and 3 bananas. each blue basket contains 3 apples and 4 bananas. i have a total of 53 apples and 73 bananas. how many basket of each type do i have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Each red basket contains 2 apples and 3 bananas. each blue basket contains 3 apples and 4 bananas. i have a total of 53 apples and 73 bananas. how many basket of each type do i have?
2r + 3b = 53 apples
3r + 4b = 73 bananas
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Modify for elimination::
6r + 9b = 159
6r + 8b = 146
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Subtract and solve for "b"::
b = 13 (# of blue baskets)
Solve for "r"::
2r + 3b = 53
2r + 39 = 53
2r = 14
r = 7 (# of red baskets)
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Cheers,
Stan H.
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