SOLUTION: 'Paula mixed two cups of sunflower seeds and three cups of raisins to make a snack for a hike. She figured that the mixture would provide her with 2,900 calories of food energy. F

Algebra ->  Equations -> SOLUTION: 'Paula mixed two cups of sunflower seeds and three cups of raisins to make a snack for a hike. She figured that the mixture would provide her with 2,900 calories of food energy. F      Log On


   

Question 905279: 'Paula mixed two cups of sunflower seeds and three cups of raisins to make a snack for a hike. She figured that the mixture would provide her with 2,900 calories of food energy. Find the number of calories per cup of raisins if it is 400 less than the number of calories per cup of sun flower seeds.'
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
c for calories in one cup of sunflower seeds.
c-400 is calories in one cup of raisins.

Account for the calories in the mixture made:
2%2Ac%2B3%28c-400%29=2900
Solve.
2c%2B3c-1200=2900
-fixing
5c=2900%2B1200
5c=%2829%2B12%29%2A100
5c=4100
highlight%28c=820%29----calories in 1 cup SUNFLOWER SEEDS.
highlight%28c-400=420%29------calories in 1 cup RAISINS.
-
cross%285c=%2829-12%29100%29----MISTAKE
cross%285c=1700%29
cross%28highlight%28c=340%29%29, for the 1 cup of SUNFLOWER SEEDS.




THIS ALREADY DONE:
I would guess that another tutor will catch the mistake, but so far, the description seems wrong, because for the raisins, I would continue to find cross%28c-400=340-400=highlight_green%28-60%29%29 calories.



Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
2*s+3r=2900
s-400=r
s-r=400
2s+3r=2900
3s-3r=1200
5s=4100
s=820
r=420
check
2*820+3*420=2900
1640+1260=2900
ok