A bookstore offered mystery bags each containing 12 books. The quantity of each type of book was the same in each mystery bag. A
shopper bought 3 mystery bags and found that 6 books were spy novels. Based on this information, which prediction can the shopper make about buying mystery bags in the future?
A. There will be 4 more spy novels in 8 bags than in 6 bags.
B. There will be 2 more spy novels in 6 bags than in 4 bags.
C. There will be 1 more spy novel in 9 bags than in 8 bags.
D. There will be 6 more spy novels in 10 bags than in 8 bags
well, since there are 6/3 = 2 spy novels in each bag, what do you think?
To solve this problem, let's break it down step-by-step.
Step 1: Calculate the number of spy novels in each mystery bag.
Since there are 6 spy novels in 3 bags, we divide 6 by 3 to find out the number of spy novels in each bag: 6 / 3 = 2.
Step 2: Predict the number of spy novels in future bags.
Now, we can use this information to make predictions about future bags.
Option A suggests that there will be 4 more spy novels in 8 bags than in 6 bags. Since each bag contains 2 spy novels, we can calculate the number of spy novels in 8 bags: 2 * 8 = 16. Since we started with 6 spy novels, the difference is 16 - 6 = 10, not 4. Therefore, option A is incorrect.
Option B suggests that there will be 2 more spy novels in 6 bags than in 4 bags. Following the same reasoning as before, we can calculate the number of spy novels in 4 bags: 2 * 4 = 8. So, in 6 bags, we would have 8 + 2 = 10 spy novels. This matches our initial information of 6 spy novels, so option B is a possible prediction.
Option C suggests that there will be 1 more spy novel in 9 bags than in 8 bags. Using the same calculation, we find that in 8 bags, we have 2 * 8 = 16 spy novels. So, in 9 bags, we would have 16 + 1 = 17 spy novels. This contradicts our initial information of 6 spy novels, so option C is incorrect.
Option D suggests that there will be 6 more spy novels in 10 bags than in 8 bags. Using the same calculation, we find that in 8 bags, we have 2 * 8 = 16 spy novels. So, in 10 bags, we would have 16 + 6 = 22 spy novels. This also contradicts our initial information of 6 spy novels, so option D is incorrect.
Based on our calculations, the only prediction that matches our initial information is option B: There will be 2 more spy novels in 6 bags than in 4 bags.
To answer this question, let's break down the information given step by step.
1. Each mystery bag contains 12 books.
2. The quantity of each type of book is the same in each mystery bag.
3. The shopper bought 3 mystery bags and found 6 spy novels.
From this information, we can calculate the number of spy novels in each mystery bag. Since the quantity of each type of book is the same in each bag, we can determine that there are 6/3 = 2 spy novels in each bag.
Now, let's consider the predictions:
A. There will be 4 more spy novels in 8 bags than in 6 bags.
To confirm this prediction, we need to calculate the total number of spy novels in 8 bags. Since each bag contains 2 spy novels, the total number of spy novels in 8 bags is 2 * 8 = 16. Comparing this to the 6 bags, we see that there are 16 - 6 = 10 more spy novels in 8 bags than in 6 bags, not 4. Therefore, option A is not correct.
B. There will be 2 more spy novels in 6 bags than in 4 bags.
To confirm this prediction, we need to calculate the total number of spy novels in 4 and 6 bags. Using the same logic as before, we find that there are 2 * 4 = 8 spy novels in 4 bags and 2 * 6 = 12 spy novels in 6 bags. Comparing these totals, we see that there are indeed 12 - 8 = 4 more spy novels in 6 bags than in 4 bags. Therefore, option B is correct.
C. There will be 1 more spy novel in 9 bags than in 8 bags.
To confirm this prediction, we need to calculate the total number of spy novels in 8 and 9 bags. Using the same logic as before, we find that there are 2 * 8 = 16 spy novels in 8 bags and 2 * 9 = 18 spy novels in 9 bags. Comparing these totals, we see that there are indeed 18 - 16 = 2 more spy novels in 9 bags than in 8 bags. Therefore, option C is not correct.
D. There will be 6 more spy novels in 10 bags than in 8 bags.
To confirm this prediction, we need to calculate the total number of spy novels in 8 and 10 bags. Using the same logic as before, we find that there are 2 * 8 = 16 spy novels in 8 bags and 2 * 10 = 20 spy novels in 10 bags. Comparing these totals, we see that there are indeed 20 - 16 = 4 more spy novels in 10 bags than in 8 bags, not 6. Therefore, option D is not correct.
Based on this analysis, the correct prediction is option B: There will be 2 more spy novels in 6 bags than in 4 bags.