To find the total number of packs of baseball cards that Vivek and Carlos buy on both weekends, let's break down the purchases.
Last weekend:
- Vivek buys 4 packs.
- Carlos buys 3 times as many packs as Vivek, so he buys \(3 \times 4 = 12\) packs.
- Total for last weekend = \(4 + 12 = 16\) packs.
This weekend:
- Vivek buys 2 packs.
- Carlos buys 5 times as many packs as Vivek, so he buys \(5 \times 2 = 10\) packs.
- Total for this weekend = \(2 + 10 = 12\) packs.
Now, to find the total number of packs bought over both weekends: Total = Total for last weekend + Total for this weekend Total = \(16 + 12 = 28\) packs.
Now, let's evaluate the options given:
A. \((4 + 3) \times (2 + 5)\) does not correctly reflect the purchases made. This option multiplies the sums of packs from both weekends.
B. \((4 + (3 + 4)) + [2 \times (5 + 2)]\) is very complicated and not correctly reflecting the purchases.
C. \([4 + (3 \times 4)] + [2 + (5 \times 2)]\) simplifies as follows:
- For the first part: \(4 + (3 \times 4) = 4 + 12 = 16\)
- For the second part: \(2 + (5 \times 2) = 2 + 10 = 12\)
- Total = \(16 + 12 = 28\), which is correct.
D. \((4 + 2) \times (3 + 5)\) also multiplies the sums and does not reflect the actual purchases correctly.
Therefore, the correct expression to use to find the total number of packs of baseball cards both boys buy on both weekends is:
C. \([4 + (3 \times 4)] + [2 + (5 \times 2)]\)
1 answer