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. There were pounds of bananas

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter6: Systems Of Linear Equations And Inequalities
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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.
There were
pounds of bananas
sold and
pounds of raspberries
sold.
Submit Answer
Transcribed Image Text: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. There were pounds of bananas sold and pounds of raspberries sold. Submit Answer
Expert Solution
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Sol :               given,            Each pound of bannas sell for $ 3.25 and            each pound of Raspberries sell for $ 1.75      of                   number of bannas sold be r B                   and number of Raspberries sod be RCharlottle sold 13 more pound of bannanas   then pound of Raspberries    A/θ                   R = x ---------(1)                               B = x+13 ------- (2)A/θ           1.75 R+3.25 B = 227.25 ---- (3)Now, substituting the value of R ans B is equapia1.75(x)+(3.25) (x+13) = 227.25(1.75+3.25)x + 3.25×13 = 227.255x+42.25 = 227.255x=227.25-42.255x=185x=185/5x=37R = 37B=37+13B=50R = 37 and B=50

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