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A farm stand wants to sell fruit to local grocery stores in packages with baskets of grapes, worth $5 apiece, and baskets of plums, worth $10 apiece. The owner wants each package to include 35 baskets total, and he wants to sell each package for $290. How many baskets of grapes and how many baskets of plums should he put in each package?

 Mar 4, 2020
 #1
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Let  the number of  baskets of grapes =  G

Then the baskets of  plums =   35 - G

 

So

 

G (5)  +  (35 - G)(10 )   = 290    simplify

 

5G  + 350  -  10G =   290

 

-5G  + 350 =  290       subtract   350  from  each  side

 

-5G   =  -60     divide  both  sides  by -   5

 

G  = 12  = baskets of grapes in package

 

35 - G =  35 - 12  =  23  =  baskets of plums in each package

 

 

cool cool cool

 Mar 4, 2020

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