Afarm stand wants to sell fruit to local grocery stores in packages with baskets of strawberries, worth $7 apiece, and baskets of raspberries, worth $11 apiece. the owner wants each package to include 30 baskets total, and he wants to sell each package for $246. how many baskets of strawberries and how many baskets of raspberries should he put in each package ?

number of baskets of strawberries in each package = 21

number of baskets of raspberries in each package = 9

Step-by-step explanation:

Let x = number of baskets of strawberries in each package.

Let y = number of baskets of raspberries in each package.

Baskets of strawberries worth $7 apiece, and baskets of raspberries, worth $11 apiece. The cost of the each package is $246. This means

7x + 11y = 246 - - - - - - - - -1

The owner wants each package to include 30 baskets total. This means

x + y = 30

Put x = 30 - y in equation 1

7(30-y) + 11y = 246

210 - 7y + 11y = 246

-7y + 11y = 246 - 210

4y = 36

y = 36/4 = 9

x = 30-y = 30-9

= 21

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.