One taco supreme and to be Fritos provide 3480 calories. Two taco supremes and one beef burrito provide 3090 calories. Find the the caloric content of each item.

Answer: 900 calories in one taco supreme, 1290 calories in one beef burrito

X = number of taco supremes

Y = number of beef burritos

1x + 2y = 3480

2x + 1y = 3090

Multiply top equation by 2 to make it equal second equation

2 (x + 2y = 3480) = 2x + 4y = 6960

Solve using by setting equations equal to each other

2x + 4y = 6960

2x + y = 3090

2x = 6960 - 4y

2x = 3090 - y

6960 - 4y = 3090 - y

6960 = 3090 + 3y

3870 = 3y

1290 = y (1290 calories in a beef burrito)

Substitute in for number of calories in a taco supreme

2x + (1290) = 3090

2x = 1800

x = 900 (900 calories in a taco supreme)

You can check by substituting the amounts back in to the original equations to see if they add up

1 (900) + 2 (1290) = 3480 Correct!

2 (900) + 1 (1290) = 3090 Correct!