Question

Sam goes to a fast food restaurant and orders some tacos and burritos. He sees on the nutrition menu that tacos are 250 calories and burritos are 330 calories. If he ordered 4 items and consumed a total of 1080 calories, how many tacos, and how many burritos did Sam order and eat?

Answer 1

Let x represent the number of tacos that Sam ordered and ate.

Let y represent the number of burritos that Sam ordered and ate.

From the information given, If he ordered 4 items, it means that

x + y = 4

If tacos are 250 calories, it means that the number of calories in x tacos is 250 * x = 250x

If burritos are 330 calories, it means that the number of calories in y burritos is 330 * y = 330y

If he consumed a total of 1080 calories, it means that

250x + 330y = 1080

From the first equation, x = 4 - y

By substituting x = 4 - y into the second equation, we have

250(4 - y) + 330y = 1080

1000 - 250y + 330y = 1080

- 250y + 330y = 1080 - 1000

80y = 80

y = 80/80

y = 1

x = 4 - y = 4 - 1

x = 3

Thus, Sam ordered and ate 3 tacos and 1 burritos