SOLUTION: Please I need help to solve this word problem: At the market I bought plums, peaches, and pears. I bought twice as many peaches as pears and 4 1/2 times as many plums as pears.

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Question 670554: Please I need help to solve this word problem:
At the market I bought plums, peaches, and pears. I bought twice as many peaches as pears and 4 1/2 times as many plums as pears. In all, I bought 45 pieces of fruit. How many of each did I buy?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let p be pears. Let x be peaches and y be plums.
You are told
y+=+4.5p
x+=+2p
and
45+=+p+%2B+x+%2B+y
45+=+p+%2B+2p+%2B+4.5p
45+=+7.5p
45%2F7.5+=+p
6+=+p
You bought 6 pears.
Now solve for peaches. peaches = y = 2p = 2*6 = 12
Plums = x = 4.5p = 4.5*6 = 27