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)
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What does the 8 mean in context?
What does the 6 mean in context?
Who got the better deal?
The 8 in context refers to the number of burger meals purchased by the Wilsons.
The 6 in context refers to the number of hot dog meals purchased by the Wilsons.
The Wilsons got the better deal.
In this context, the number 8 represents the total number of burger meals purchased by both the Johnsons and the Wilsons (2 burger meals from the Johnsons + 5 burger meals from the Wilsons = 8).
Similarly, the number 6 represents the total number of hot dog meals purchased by both the Johnsons and the Wilsons (5 hot dog meals from the Johnsons + 2 hot dog meals from the Wilsons = 6).
To determine who got the better deal, we need to compare the total cost per meal for each family. Since the Johnsons spent $46 for 8 burger meals and 6 hot dog meals, we can calculate their average cost per meal by dividing the total cost by the total number of meals:
Average cost per meal for the Johnsons = Total cost / Total number of meals
= $46 / (8 + 6)
= $46 / 14
≈ $3.29 per meal.
Similarly, for the Wilsons, they spent $52 for 5 burger meals and 2 hot dog meals. Therefore, their average cost per meal is:
Average cost per meal for the Wilsons = Total cost / Total number of meals
= $52 / (5 + 2)
= $52 / 7
≈ $7.43 per meal.
Comparing the average cost per meal, the Johnsons got the better deal as their average cost per meal is lower ($3.29 per meal) compared to the Wilsons' average cost per meal ($7.43 per meal).
To understand the meaning of the numbers in context, let's break down the information provided:
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.
To solve the problem, you need to find a solution in which the number of burger meals and the number of hot dog meals for both families match the given prices.
The solution (8, 6) represents the number of burger meals and hot dog meals respectively that satisfy the given conditions. In this context:
- The number 8 represents the total number of burger meals (2 from the Johnsons and 5 from the Wilsons) in the solution.
- The number 6 represents the total number of hot dog meals (5 from the Johnsons and 2 from the Wilsons) in the solution.
Therefore, in this context:
- The number 8 means there were a total of 8 burger meals purchased by both families.
- The number 6 means there were a total of 6 hot dog meals purchased by both families.
Now, to determine who got the better deal, we should compare the prices paid by each family. Since the Wilsons paid $52 and the Johnsons paid $46, we can conclude that the Johnsons got the better deal as they paid a lower amount for their meals.