The recipe above yields 24 cookies. Please use the above recipe to determine how many cookies each of the following list of ingr
edients will make:
1 dozen eggs
24 teaspoons of vanilla
1 lb. (82 tsp) of salt
1 lb (84 tsp) of baking soda
3 cups of chocolate chips
5 lb (11 cups) of sugar
2 lb (4 cups) of brown sugar
1 lb (4 sticks) of butter
4 lb of all purpose flour
Which of the above ingredients will be the limiting reactant? What is the maximum about of cookies that can be made with the new quantity of ingredients? Please make sure that your discussion is written in complete sentences. (Hint: you will need to calculate how many cookies can be made with the original recipe and the new quantities)
1 dozen eggs
24 teaspoons of vanilla
1 lb. (82 tsp) of salt
1 lb (84 tsp) of baking soda
3 cups of chocolate chips
5 lb (11 cups) of sugar
2 lb (4 cups) of brown sugar
1 lb (4 sticks) of butter
4 lb of all purpose flour
Which of the above ingredients will be the limiting reactant? What is the maximum about of cookies that can be made with the new quantity of ingredients? Please make sure that your discussion is written in complete sentences. (Hint: you will need to calculate how many cookies can be made with the original recipe and the new quantities)
1 answer:
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Answer:
Step-by-step explanation:
Gotta love these motion problems!
d = rt is what we need here to solve this, along with some logic.
If the EB (eastbound) train left at noon then at the end of its travels, at 8pm to be specific, it was traveling for 8 hours. Therefore, for the EB train, t = 8.
If the WB train left at 4 pm then at the end of its travels, also at 8pm, it was traveling for 4 hours. Therefore, for the WB train, t = 4.
The distance between the trains is given as 400 miles. That 400 mile distance is due to the fact that each train traveled a distance of rate*time. The distance the WB train traveled + the distance the EB train traveled = 400 miles. Now we just need to find out the distance each traveled in its respective time frame.
For the EB train. We already know that t = 8. We do not know how fast it's going, so rate is just r. In the distance formula, d = rt:
For the WB train. We already know that t = 4. We do not know this rate either, but we do know that it is traveling 10 mph faster than the EB train, so rate is r + 10. In the distance formula, d = rt:
and
We have already determined that
so
4r + 40 + 8r = 400 and
12r + 40 = 400 and
12r = 360 so
r = 30
That means that the EB train is traveling 30 mph and the WB train then has to be traveling 40 mph.
These are quite difficult...I get it. They drive all my students, regardless of what math level they are in, absolutely batty!!!