One kung pao chicken and two big macs provide 2620 calories. Two kung pao chickens and one big mac provide 3740 calories. find the caloric content of each item.

1x+2y=2620

2x+1y=3740
You can use elimination to solve, which is where you multiply one or more equations to eliminate either the x's or y's.
Multiplying the top equation by negative 2 will cancel the x's.
-2x-4y=-5240
2x+1y=3740
Add the equations together.
-3y=-1500
Divide by negative 3.
y=500
Plug y=500 into any of the equations to figure out what x equals. Post if you want it checked.

Let's assume the calorie content of one kung pao chicken is represented by x and the calorie content of one big mac is represented by y.

According to the given information, we can form two equations:

Equation 1: x + 2y = 2620 (since one kung pao chicken and two big macs provide 2620 calories)

Equation 2: 2x + y = 3740 (since two kung pao chickens and one big mac provide 3740 calories)

To solve this system of equations, we can use either substitution or elimination method. Let's use the elimination method:

Multiplying Equation 1 by 2, we get:

2x + 4y = 5240

Now, we can subtract Equation 2 from this modified Equation 1:

(2x + 4y) - (2x + y) = 5240 - 3740

Simplifying, we have:

3y = 1500

Dividing both sides of the equation by 3, we get:

y = 500

Now, substitute the value of y in Equation 1:

x + 2(500) = 2620

x + 1000 = 2620

Subtracting 1000 from both sides, we have:

x = 1620

So, the calorie content of one kung pao chicken is 1620 calories, and the calorie content of one big mac is 500 calories.

To find the caloric content of each item, we can set up a system of two equations using the given information.

Let's use the letters P for kung pao chicken and M for Big Mac to represent the caloric content of each item.

From the first statement, we know:
1P + 2M = 2620

From the second statement, we know:
2P + 1M = 3740

To find the values of P and M, we can solve this system of equations.

There are different methods to solve a system of equations, such as substitution or elimination. Let's use the elimination method.

We'll multiply the first equation by 2 and the second equation by 1, so we can eliminate the variable P:

2P + 4M = 5240
2P + 1M = 3740

Now, subtract the second equation from the first equation:

(2P + 4M) - (2P + 1M) = 5240 - 3740

This simplifies to:

3M = 1500

Divide both sides by 3:

M = 500

So the Big Mac has 500 calories.

We can now substitute this value back into one of the original equations. Let's use the first equation:

1P + 2(500) = 2620

Simplifying:

1P + 1000 = 2620

Subtract 1000 from both sides:

1P = 1620

Therefore, the kung pao chicken has 1620 calories.

To summarize, the caloric content of each item is:
- Kung Pao Chicken: 1620 calories
- Big Mac: 500 calories