Question

They sell a six pack of hot dogs for 2.10 and an eight pack for3.12. Should the shopper buy 8 six packs or 6 eight packs? Explain your reasoning.

1) Buy 8 six packs
2) Buy 6 eight packs
3) Cannot be determined
4) Not enough information provided

Answer 1

The shopper should buy 8 six packs of hot dogs as it offers the same total number of hotdogs (48) for a lower cost ($16.80) compared to 6 eight packs ($18.72).

Step-by-step explanation:

To determine whether the shopper should buy 8 six packs or 6 eight packs of hot dogs, we need to calculate the total cost and amount of hot dogs for each option.

First, let's calculate the cost for 8 six packs:

1. Each six pack costs $2.10.
2. Multiplying $2.10 by 8 gives us $16.80.
3. Since each pack contains 6 hot dogs, 8 packs would have a total of 8 x 6 = 48 hot dogs.

Now, let's calculate the cost for 6 eight packs:

1. Each eight pack costs $3.12.
2. Multiplying $3.12 by 6 gives us $18.72.
3. Since each pack contains 8 hot dogs, 6 packs would have a total of 6 x 8 = 48 hot dogs.

Comparing both options, we have the same total number of hot dogs (48), but 8 six packs cost $16.80 while 6 eight packs cost $18.72. Therefore, the shopper should buy 8 six packs because they offer the same number of hot dogs for a lower total cost.