SOLUTION: Paula mixed2 cups of sunflower seeds and 3 cups of raisins to make a snack for a hike. She figures that the mixture would provide her with 2900 Calories of food energy. Find the

Algebra ->  Test -> SOLUTION: Paula mixed2 cups of sunflower seeds and 3 cups of raisins to make a snack for a hike. She figures that the mixture would provide her with 2900 Calories of food energy. Find the       Log On


   



Question 654850: Paula mixed2 cups of sunflower seeds and 3 cups of raisins to make a snack for a hike. She figures that the mixture would provide her with 2900 Calories of food energy. Find the number of Calories per cup of raisons if it is less 400 less than the number of calories per cup of sunflower seeds. Solve. Use a chart to help you solve the problem.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = calories / cup of sunflower seeds
Let +b+ = calories / cup of raisins
given:
(1) +2a+%2B+3b+=+2900+ calories
(2) +b+=+a+-+400+ calories/cup
-----------------
(2) +a+-+b+=+400+
Multiply both sides of (2) by +3+ and
add (2) and (1)
(1) +2a+%2B+3b+=+2900+
(2) +3a+-+3b+=+1200%0D%0A%7B%7B%7B+5a+=+4100+
+a+=+820+
and, since
(2) +b+=+a+-+400+
(2) +b+=+820+-+400+
(2) +b+=+420+
820 = calories / cup of sunflower seeds
420 = calories / cup of raisins
check:
(1) +2%2A820+%2B+3%2A420+=+2900+
(1) +1640+%2B+1260+=+2900+
(1) +2900+=+2900+
OK