Final answer:
The cost of each burrito bowl is found by setting up the equation 3x + $12.96 = $32.46, where x represents the price of one burrito bowl. After solving, we find that x equals $6.50, which means each burrito bowl costs $6.50.
Step-by-step explanation:
The student is tasked with determining the cost of each burrito bowl, given the cost of other items and the total bill at a Mexican diner. To solve this, we will set up an equation using the information provided. Here's the step-by-step explanation:
- Let the price of one burrito bowl be denoted by $x.
- Three burrito bowls would then cost 3x dollars.
- With the additional cost of the corn tacos, which is $12.96, the total cost becomes 3x + $12.96.
- The total bill given is $32.46. So, we set up the equation 3x + $12.96 = $32.46.
- To find the price of one burrito bowl ($x), subtract the cost of the corn tacos from the total: $32.46 - $12.96 = $19.50.
- Now, divide $19.50 by 3 to find the cost of one burrito bowl: $x = $19.50 / 3.
- After calculating, we find that $x = $6.50. Therefore, the cost of each burrito bowl is $6.50.