Question

A shopper needs 48 hot dogs. The store sells identical hot dogs in 2 different sized packages. They sell a six pack of hot dogs for $2.10, and eight-pack of hot dogs for $3.12. Should the shopper buy 8 six-pack, or 6 eight-packs? Explain your reasoning.

Answer 1

The shopper should buy 8 six-packs of hot dogs for a total cost of $16.80 as it is cheaper than buying 6 eight-packs for $18.72, while both options provide the needed 48 hot dogs.

Step-by-step explanation:

To determine whether the shopper should buy 8 six-packs or 6 eight-packs of hot dogs, we need to compare the total cost of each option. First, calculate the total number of hot dogs in each option to ensure both meet the requirement of 48 hot dogs. Then, calculate the total cost for each option and compare them.

Option 1: 8 six-packs of hot dogs.

• Number of hot dogs = 8 packs × 6 hot dogs/pack = 48 hot dogs
• Total cost = 8 packs × $2.10/pack = $16.80

Option 2: 6 eight-packs of hot dogs.

• Number of hot dogs = 6 packs × 8 hot dogs/pack = 48 hot dogs
• Total cost = 6 packs × $3.12/pack = $18.72

After calculating the total cost of both options, we can see that buying 8 six-packs for $16.80 is cheaper than buying 6 eight-packs for $18.72. Therefore, the shopper should choose to buy the 8 six-packs of hot dogs to minimize cost while still obtaining the required number of hot dogs.

Answer 2

8 six-packs

Step-by-step explanation:

It is cheaper to buy 8 six-packs because all you have to do is multiply the price by the amount of packages. So for the six-packs I multiplied $2.10 by 8 and got $16.80. For the eight-packs, I multiplied $3.12 by 6 and got $18.72. Because $16.80 is less money than $18.72, the shopper should buy the 8 six-packs.

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