The Johnsons and the Wilsons went to Burger barn for dinner the Johnsons bout to Burger meals and five hotdog meals for $46 the Wilsons about five burger meals and two hotdogs meals for $52 who got the better deal
To determine who got the better deal, let's calculate the cost of each meal for both families.
The Johnsons bought 2 burger meals and 5 hotdog meals for a total of $46. Let's assume a burger meal costs x and a hotdog meal costs y.
Therefore, we have the equation 2x + 5y = 46.
The Wilsons bought 5 burger meals and 2 hotdog meals for a total of $52. Let's again assume a burger meal costs x and a hotdog meal costs y.
Therefore, we have the equation 5x + 2y = 52.
To solve this system of equations, we can use the substitution method. Solving the first equation for x, we get x = (46 - 5y)/2. Substituting this value of x into the second equation, we get 5((46 - 5y)/2) + 2y = 52.
Simplifying, we obtain 23 - 2.5y + 2y = 52, which gives us -0.5y = 29, or y = -58. This means that a hotdog meal costs negative $58, which is not possible in this context.
Hence, there seems to be an error in the information provided. Please check the data and restate the problem so that a proper evaluation can be made.
To determine who got the better deal between the Johnsons and the Wilsons, we need to compare the prices of their respective orders.
Let's break down the total amount spent by each family:
The Johnsons bought 2 Burger meals and 5 Hotdog meals for $46.
The Wilsons bought 5 Burger meals and 2 Hotdog meals for $52.
To compare the deals fairly, we need to find the price of each individual meal in both orders.
For the Johnsons:
Let's assume the price of a Burger meal is B dollars and the price of a Hotdog meal is H dollars.
From the information given, we can set up the following equation:
2B + 5H = 46
For the Wilsons:
Let's assume the price of a Burger meal is B dollars and the price of a Hotdog meal is H dollars.
From the information given, we can set up the following equation:
5B + 2H = 52
To solve these equations, we can use a method called elimination. By multiplying both sides of the first equation by 2 and the second equation by 5, we can cancel out the H terms when we subtract the equations.
Eq1: 4B + 10H = 92
Eq2: 25B + 10H = 260
Now, we subtract Eq1 from Eq2:
(25B + 10H) - (4B + 10H) = 260 - 92
21B = 168
B = 8
Now, we substitute the value of B into one of the original equations. Let's use the equation for the Johnsons' order:
2B + 5H = 46
2(8) + 5H = 46
16 + 5H = 46
5H = 30
H = 6
So, we found that a Burger meal costs $8, and a Hotdog meal costs $6.
Now, we can calculate the total cost of each family's order:
For the Johnsons:
2 Burger meals * $8 + 5 Hotdog meals * $6 = $16 + $30 = $46
For the Wilsons:
5 Burger meals * $8 + 2 Hotdog meals * $6 = $40 + $12 = $52
Therefore, both families spent the same amount on their orders, so they got an equal deal.
To determine who got the better deal between the Johnsons and the Wilsons, we need to compare the prices per meal for each family.
Let's start with the Johnsons' order:
- They bought 2 Burger meals and 5 Hotdog meals for a total of $46.
- The cost per Burger meal is $46 ÷ 2 = $23.
- The cost per Hotdog meal is $46 ÷ 5 = $9.20.
Now let's move on to the Wilsons' order:
- They bought 5 Burger meals and 2 Hotdog meals for a total of $52.
- The cost per Burger meal is $52 ÷ 5 = $10.40.
- The cost per Hotdog meal is $52 ÷ 2 = $26.
Based on these calculations, we can see that the Johnsons got a better deal on both the Burger meals and the Hotdog meals. The Johnsons paid $23 per Burger meal compared to the Wilsons' $10.40 per Burger meal. Similarly, the Johnsons paid $9.20 per Hotdog meal compared to the Wilsons' $26 per Hotdog meal.
Therefore, the Johnsons got the better deal.