SOLUTION: The School is making a healthy trail mix to sell to students during lunch. The mix will have three times the number of pounds of raisins as sunflower seeds. Sunflower seeds cost $
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Question 181368: The School is making a healthy trail mix to sell to students during lunch. The mix will have three times the number of pounds of raisins as sunflower seeds. Sunflower seeds cost $4.00 per pound, and raisins cost $1.50 per pound. If the group has $34.00 to spend on the raisins and sunflower seeds, how many pounds of each should they buy? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The mix will have three times the number of pounds of raisins as sunflower seeds. Sunflower seeds cost $4.00 per pound, and raisins cost $1.50 per pound. If the group has $34.00 to spend on the raisins and sunflower seeds, how many pounds of each should they buy?
:
Let s = amt of sunflowers seeds
Let r = amt of raisins
;
Write an equation for each statement:
"The mix will have three times the number of pounds of raisins as sunflower seeds."
r = 3s
:
"Sunflower seeds cost $4.00 per pound, and raisins cost $1.50 per pound. If the group has $34.00 to spend on the raisins and sunflower seeds, how many pounds of each should they buy?"
4s + 1.5r = 34
;
Replace r with 3s, find s
4s + 1.5(3s) = 34
4s + 4.5s = 34
8.5s = 34
s =
s = 4 lb of Sunflower seeds
then
3*4 = 12 lb of raisins
;
:
Check solution
4(4) + 1.5(12) =
16 + 18 = 34
