Question

I NEED HELP IMMEDIATELY!!

One shake and two taco supremes provide 2830 calories. Two shakes and one taco supreme provide 2540 calories. Find the caloric content of each item. One shake contains calories.​

Answer 1

We can set up a system of equations using the information given:

x + 2y = 2830 (equation 1)

2x + y = 2540 (equation 2)

where x is the number of calories in one shake and y is the number of calories in one taco supreme.

We can use either equation to solve for one of the variables and then substitute that into the other equation.

From equation (1), x = 2830 - 2y

And substituting this into equation (2) we get

2(2830-2y) + y = 2540

Now we can solve for y.

5,660 - 4y + y = 2540

-3y = -3120

y = 1040

So, one taco supreme contains 1040 calories.

And substituting this value of y back into equation (1) we can find the number of calories in one shake:

x + 2(1040) = 2830

x = 550

So, one shake contains 550 calories.