Final answer:
A cheeseburger contains 290 calories and a small fries contains 230 calories.
Step-by-step explanation:
Let X be the number of calories in a cheeseburger, and Y be the number of calories in a small fries.
From the given information, we can create two equations:
- 4X + 5Y = 2310
- 3X + 2Y = 1330
To solve this system of equations, we can use substitution or elimination. Let's use elimination:
- Multiply equation 1 by 3 and equation 2 by 4 to eliminate the X term:
- 12X + 15Y = 6930
- 12X + 8Y = 5320
- Subtract the second equation from the first equation:
- 12X + 15Y - 12X - 8Y = 6930 - 5320
- 7Y = 1610
- Divide both sides by 7:
- Y = 230
- Substitute the value of Y into either equation and solve for X:
- 3X + 2(230) = 1330
- 3X + 460 = 1330
- 3X = 870
- X = 290
Therefore, a cheeseburger contains 290 calories and a small fries contains 230 calories.