First, let us clearly understand the problem statement - we're combining 1 scoop of a mixture with 75% mini chocolate chip concentration and 2 scoops of a mixture with 40% concentration of mini chocolate chips. Our task is to find the resulting mini chocolate chip concentration in the combined mixture.
We approach this problem step by step:
1. Calculate the combined quantity of mini chocolate chips: With 1 scoop of the first mixture, since it has a 75% concentration of mini chocolate chips, we get 1 * 0.75 = 0.75 (quantity of mini chocolate chips from scoop1). Similarly, from 2 scoops of the second mixture with a 40% concentration, we get 2 * 0.40 = 0.80 (quantity of mini chocolate chips from scoop2). Hence, the total quantity of mini chocolate chips in the combined mixture is 0.75 (from scoop1) + 0.80 (from scoop2) = 1.55.
2. Calculate the total quantity of the mixed scoops: This is just the sum of the quantities of the scoops we used from each mixture, which is 1 (from scoop1) + 2 (from scoop2) = 3.
3. Now, we'll calculate the percentage concentration of mini chocolate chips in the combined mixture. Since concentration is the ratio of the quantity of mini chocolate chips to the total quantity, our mini chocolate chip concentration in the combined mixture would be 1.55 (total mini chocolate chips) ÷ 3 (total quantity) = 0.5166666666666667.
To convert this into a percentage, we multiply by 100, which gives the final result as 51.67%.
So, we conclude that the concentration of the mini chocolate chips in the combined mixture is approximately 51.67%.