Question

Jeff goes to a fast food restaurant and orders some tacos and burritos. He sees on the nutrition menu that tacos are 150 calories and burritos are 380 calories. If he ordered

11 items and consumed a total of 3030 calories, how many tacos and how many burritos did Jeff order and eat?

Answer 1

Explanation:

Let's say Jeff ordered x tacos and y burritos.

From the problem, we know that:

- The calorie count of one taco is 150 calories

- The calorie count of one burrito is 380 calories

- Jeff ordered a total of 11 items

- Jeff consumed a total of 3030 calories

We can use the information given to form a system of equations:

x + y = 11 (Jeff ordered a total of 11 items)

150x + 380y = 3030 (Jeff consumed a total of 3030 calories)

To solve this system, we can use substitution.

Rearranging the first equation, we get:

x = 11 - y

Substituting this value of x into the second equation, we get:

150(11 - y) + 380y = 3030

Expanding and simplifying:

1650 - 150y + 380y = 3030

230y = 1380

y = 6

So Jeff ordered 6 burritos.

Substituting this value of y back into the first equation, we get:

x + 6 = 11

x = 5

So Jeff ordered 5 tacos.

Therefore, Jeff ordered 5 tacos and 6 burritos.