Mia is mixing nuts and cereal squares to make 12 pounds of trail mix. nuts costs $8 a pound and cereal squares cost $3 a pound. if mia wants her cost for the trail mix to be $5.50 a pound how many pounds of nuts and how many pounds of cereal squares should she use?

Weight of nuts = 6 pounds.

Weight of cereal squares = 6 pounds.

Step-by-step explanation:

Let the weight of nuts used in the trial mix to be x pounds and the weight of cereal squares used in the trial mix to be y pounds. Total weight of the mixture is 12 pounds. Therefore: x + y = 12. This implies y = 12 - x (Equation 1).

Cost of nuts per pound = $8 and cost of cereal squares per pound = $3. Cost of the mixture per pound = $5.5. Total mixture = 12 pounds. Since x pounds of nuts and y pounds of cereal squares are used, therefore: 8x + 3y = 5.5 * 12.

8x + 3y = 66. (Equation 2).

Put equation 1 in equation 2.

8x + 3(12 - x) = 66.

8x + 36 - 3x = 66.

5x = 30.

x = 6.

Put x = 6 in equation 1.

y = 12 - 6.

y = 6.

Therefore, the weight of nuts used in the trial mix will be 6 pounds and the weight of cereal squares used in the trial mix will be 6 pounds!!!

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.

24

step-by-step explanation: