Question

One taco supreme and two cheeseburgers provide 2220 calories. Two taco supremes and one cheeseburger provide 2130 calories.
How much calories does One supreme taco have?

Answer 1

Answer:

according to the problem

1T + 2B = 2670 and

2T + 1B = 2580

Using the first equation:

T + 2B = 2670

T = 2670 - 2B

Now substitute this expression for T into the second equation:

2T + B = 2580

2(2670 - 2B) + B = 2580

Now, distribute the 2 and do some algebra:

5340 - 4B + B = 2580

5340 - 3B = 2580

5340 = 3B + 2580

2760 = 3B

920 = B A burrito has 920 calories.

Now, substitute this value for B into either equation to find T.

1T + 2B = 2670

T + 2(920) = 2670

T+ 1840 = 2670

T = 830 A taco has 830 calories.