Question

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?

Answer 1

Answer:

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