You manage a health food store and budget $80 to buy ingredients to make 30 pounds of trail mix. Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, and granola costs $4.00 per pound. If you use twice as many pounds of peanuts as raisins, how many pounds of each ingredients should you buy?

8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts

Step-by-step explanation:

Lets form equations first.

->Peanuts cost $2.50 per pound, raisins cost $2.00 per pound,  granola costs $4.00 per pound

2.50p + 2.00r + 4.00g= 80 -->eq(1)

-> bought ingredients to make 30 pounds of trail mix

p+ r+ g= 30 -->eq(2)

->If you use twice as many pounds of peanuts as raisins

2r=p

eq(1)=> 2.50p + 2.00r + 4.00g= 80

2.5(2r) + 2r +4g =80

5r + 2r + 4g =80

7r + 4g =80

eq(2)=>

2r+ r+ g= 30

3r + g =30

-4(3r + g =30)

   7r + 4g =80

 -5r = -40

r= 40/5 =>8

For 'g':

3(8) + g =30

g= 6

For 'p':

2r=p

p=16

therefore, 8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts should be bought

i assume that by 5 you mean 5 gallons.

(20)(0.25) = 15

removing 15 gallons reduces the tank from 20 to 5.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.