Paula mixed 2 cups of sunflower seeds and 3 cups of raisins to make a snack for a hike. she figured that the mixture would provide her with 2900 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 sunflower seeds.

Hi!

I would use system of equations to solve this.

Let r = calories per cup of raisins and s = calories per cups of sunflower seeds

I would set up the two equations as one being 2 cups of sunflowers + 3 cups of raisins = 2900 calories, and one cup of raisins + 400 calories = one cup of sunflower seeds. Those written out as equations are:

2s + 3r = 2900

r + 400 = s

Now, you can use substitution, substituting r + 400 into the first equation for s (as that equals s in the second equation) and you get:

2 (r + 400) + 3r = 2900

Now solve.

2r + 800 + 3r = 2900

5r = 2100

r = 420 calories

(For the check, for one cup of sunflower seeds, there are 820 calories, based off the fact raisins have 400 less calories than the sunflower seeds)

To check:

2 (820) + 3 (420) = 1640 + 1260 = 2900

420 + 400 = 820

So our answer of 420 calories is correct.

Hope this helped!

answer; the above answer to the above statement is (true)

step 1 ammonium can be absorbed by plants, but some is converted into nitrates which are better for plants to absorb. this is called nitrification. 2. step 2 the deer eats the plants and uses the nitrogen-containing proteins for cell growth. 3. step 3 bacteria in the soil conduct nitrogen fixation to convert nitrogen gas from the atmosphere into ammonium. 4. step 4 some of the nitrates are absorbed back into plants, but denitrification breaks down the nitrates into nitrogen gas released back into the atmosphere. 5. step 5 nitrogen is found in the urine, which gets broken down into ammonium through the process of ammonification. 6. step 6 plants absorb the ammonium and begin assimilation, the process to add the nitrogen to protein.