Charlotte runs a farm stand that sells bananas and raspberries. Each pound of bananas sells for $3.25 and each pound of raspberries sells for $1.75. Charlotte sold 13 more pounds of bananas than pounds of raspberries and made $227.25 altogether. Determine the number of pounds of bananas sold and the number of pounds of raspberries sold.
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Let P be the pounds of raspberries sold
Then P + 13 = the pounds of bananas sold
1.75P + 3.25 (P + 13) = 227.25 simplify
1.75P + 3.25 P + 42.25 = 227.25
5P + 48.75 = 227.25 subtract 42.25 from both sides
5P = 185 divide both sides by 5
P = 37 lbs of raspberries