Final answer:
The question poses a practical math experiment where students mix chips and raisins in different proportions to calculate and compare percent concentrations. The students use a word formula to solve for the concentration in one case and verify it through another mixture in an empirical experiment.
Step-by-step explanation:
The question involves designing an experiment to determine the percent concentration of mini chocolate chips in different containers by creating mixtures and analyzing probabilities.
The experiment requires counting and comparing the quantities of different items (chips and raisins) in various mixtures and calculating percent concentrations based on the quantities. By setting up proportions and applying the concept of percent concentration, students are applying mathematical concepts to a practical scenario.
To find the percent concentration of mini chips in Container 3 after combining scoops from Containers 1 and 2, you would first take the total number of chips in Container 3 and divide it by the total number of items (chips and raisins) in Container 3, then multiply by 100 to get the percentage.
To validate the results, you use a word formula, which is essentially an algebraic expression based on the word problem provided. If discrepancies arise, it indicates a need to revise the word formula to correctly represent the situation.
The complete answer is: Test your word formula with another mixture. Separate the chips and raisins and return them to their original containers. Make up the new problem by deciding how many scoops of each to put into Containers 1 and 2. Then, determine the percent concentrations of mini chocolate chips in each container. Finally, decide how many scoops from Containers 1 and 2 to combine in Container 3 for the final mix. (At each step, stir so they are evenly distributed.)
a) Calculate the percent concentration of mini chips in Container 3 by taking a sample and counting the number of chips and raisins.
b) Use your word formula from Question 6 to calculate the percent concentration of mini chips in Container 3.
c) If your word formula did not yield similar results as the experiment, check your work and correct the formula as needed.