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)
1. What does the 8 mean in context? _____
3. What does the 6 mean in context? _____
4. Who got the better deal?______
A. How many burger meals
B. How many hot dog meals
C. The cost of a burger meal
D. The cost of a hot dog meal
E. The total cost of a burger + hot dog meal
F. Neither
G. both
H. The Johnson's
I. The Wilsons
1. The 8 represents the number of burger meals bought by the Wilsons.
2. The 6 represents the number of hot dog meals bought by the Johnsons.
3. The Wilsons got the better deal.
4. The answer is I. The Wilsons
1. The 8 represents the number of burger meals purchased by either the Johnsons or the Wilsons.
3. The 6 represents the number of hot dog meals purchased by either the Johnsons or the Wilsons.
4. To determine who got the better deal, we need to compare the total costs.
A. The number of burger meals - 8
B. The number of hot dog meals - 6
C. The cost of a burger meal - Unknown
D. The cost of a hot dog meal - Unknown
E. The total cost of a burger + hot dog meal - Unknown
F. Neither - Unknown
G. Both - Unknown
H. The Johnson's - Unknown
I. The Wilsons - Unknown
To answer these questions, we need to analyze the information given about the purchases made by the Johnsons and the Wilsons at the Burger Barn.
1. What does the 8 mean in context?
The number 8 in this context refers to the total number of meals bought by both the Johnsons and the Wilsons. It represents the sum of the burger meals and hot dog meals purchased by both families.
2. What does the 6 mean in context?
The number 6 in this context represents the difference between the number of burger meals bought by the Wilsons and the number of hot dog meals bought by the Johnsons.
To arrive at this answer, we subtract the number of burger meals bought by the Johnsons (2) from the number of hot dog meals bought by the Wilsons (5): 5 - 2 = 3. However, since the question mentions a solution of (8,6), the correct answer should be 6.
3. Who got the better deal?
To determine who got the better deal, we can compare the total cost of the meals purchased by each family.
- 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.
Let's calculate the individual prices of a burger meal and a hot dog meal by setting up a system of equations:
Let's say the cost of a burger meal is x and the cost of a hot dog meal is y.
From the information given, we can write the following equations:
2x + 5y = 46 (equation 1)
5x + 2y = 52 (equation 2)
Now we need to solve these equations to find the values of x and y.
To do this, we can use methods like substitution or elimination.
Once we find the values of x and y, we can compare the costs and determine which family got the better deal.