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?

Guest Mar 4, 2020

#1**+1 **

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

CPhill Mar 4, 2020