The Johnsons and the Wilsons went to the Burger Barn for dinner.

Question

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)

What does the 8 mean in context?

What does the 6 mean in context?

Who got the better deal?

Answer 1

In the given context, the numbers represent the prices of the meals.

1. What does the 8 mean in context? The 8 refers to the price of a burger meal. Thus, each burger meal costs $8.

2. What does the 6 mean in context? The 6 refers to the price of a hot dog meal. Thus, each hot dog meal costs $6.

3. Who got the better deal? To determine who got the better deal, we can calculate the total cost of the meals for each family using the prices we just identified.

   • Johnsons:

     • 2 burger meals: 2 × $8 = $16
     • 5 hot dog meals: 5 × $6 = $30
     • Total cost for the Johnsons = $16 + $30 = $46

   • Wilsons:

     • 5 burger meals: 5 × $8 = $40
     • 2 hot dog meals: 2 × $6 = $12
     • Total cost for the Wilsons = $40 + $12 = $52

Both families paid their respective amounts, so rather than directly comparing totals, we can assess the value of meals based on cost per meal:

• The Johnsons received 7 meals (2 burgers + 5 hot dogs), costing a total of $46, which is approximately $6.57 per meal.
• The Wilsons received 7 meals (5 burgers + 2 hot dogs), costing a total of $52, which is approximately $7.43 per meal.

Thus, the Johnsons got the better deal, as they paid less per meal.