Charlotte runs a farm stand that sellsbananas and raspberries. Each pound ofbananas sells for $3.25 and each pound ofraspberries sells for $1.75. Charlotte sold13 more pounds of bananas than poundsof raspberries and made $227.25altogether. Determine the number ofpounds of bananas sold and the number ofpounds of raspberries sold.There werepounds of bananassold andpounds of raspberriessold.Submit Answer

Name: Charlotte runs a farm stand that sellsbananas and raspberries. Each p
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Description: Charlotte runs a farm stand that sellsbananas and raspberries. Each pound ofbananas sells for $3.25 and each pound ofraspberries sells for $1.75. Charlotte sold13 more pounds of bananas than poundsof raspberries and made $227.25altogether. Determine

Answered: Charlotte runs a farm stand that sells…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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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

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Step 1

$S o l : g i v e n, E a c h p o u n d o f b a n n a s s e l l f o r $ 3.25 a n d e a c h p o u n d o f R a s p b e r r i e s s e l l f o r $ 1.75 o f n u m b e r o f b a n n a s s o l d b e r B a n d n u m b e r o f R a s p b e r r i e s s o d b e R C h a r l o t t l e s o l d 13 m o r e p o u n d o f b a n n a n a s t h e n p o u n d o f R a s p b e r r i e s A / θ R = x - - - - - - - - - (1) B = x + 13 - - - - - - - (2) A / θ 1.75 R + 3.25 B = 227.25 - - - - (3) N o w, s u b s t i t u t i n g t h e v a l u e o f R a n s B i s e q u a p i a 1.75 (x) + (3.25) (x + 13) = 227.25 (1.75 + 3.25) x + 3.25 \times 13 = 227.25 5 x + 42.25 = 227.25 5 x = 227.25 - 42.25 5 x = 185 x = 185 / 5 x = 37 R = 37 B = 37 + 13 B = 50 R = 37 a n d B = 50$

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