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).

Answer 1

Let's assume the cost of a burger meal is $b and the cost of a hot dog meal is $h.

According to the given information, we can form two equations:

Equation 1: 2b + 5h = 46
Equation 2: 5b + 2h = 52

Now, let's solve these equations to find the values of b and h.

Multiplying Equation 1 by 2 and Equation 2 by 5, we get:

4b + 10h = 92
25b + 10h = 260

Subtracting the first equation from the second, we get:

25b + 10h - (4b + 10h) = 260 - 92
21b = 168
b = 8

Substituting the value of b in Equation 1:

2(8) + 5h = 46
16 + 5h = 46
5h = 46 - 16
5h = 30
h = 6

So, the cost of a burger meal is $8, and the cost of a hot dog meal is $6.