Question The Johnsons and the Wilsons went to the Burger Barn for dinner. The Johnsons bought 2 burger meals and 5 hot dog meals for $46. The Wilsons bought 5 burger meals and 2 hot dog meals for $52. When you solve, you get a solution of (8, 6). (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. What does the 8 mean in context? What does the 6 mean in context? Who got the better deal?

Answer 1

To answer your question:

1. The 8 represents the cost of one burger meal, meaning each burger meal costs $8.
2. The 6 represents the cost of one hot dog meal, meaning each hot dog meal costs $6.

To determine who got the better deal, let's compare the total costs of each family's meals:

• Johnsons:

  • 2 burger meals at $8 each: \( 2 \times 8 = 16 \)
  • 5 hot dog meals at $6 each: \( 5 \times 6 = 30 \)
  • Total cost for the Johnsons: \( 16 + 30 = 46 \) (which is correct according to the problem statement)

• Wilsons:

  • 5 burger meals at $8 each: \( 5 \times 8 = 40 \)
  • 2 hot dog meals at $6 each: \( 2 \times 6 = 12 \)
  • Total cost for the Wilsons: \( 40 + 12 = 52 \) (which is also consistent with the problem statement)

In terms of value, we look at the total number of meals and their respective costs to see who got more food for a better price:

• Johnsons received 2 burger meals and 5 hot dog meals (total of 7 meals) for $46.
• Wilsons received 5 burger meals and 2 hot dog meals (total of 7 meals) for $52.

Even though both families bought the same number of meals (7), the Johnsons spent less money ($46 vs. $52).

Thus, the Johnsons got the better deal since they paid less for the same number of meals.