At McDonald’s four cheeseburgers and three medium fries have a total of 2290 cal. Six cheeseburgers and two medium fries have 2560 cal. How many calories does each item contain
4c + 3f = 2290
6c + 2f = 2560
first times 2: 8c + 6f = 4580
2nd times 3: 18c + 6f = 7680
subtract ....
10c = 3100
c = 310
sub c = 310 into the 1st to get f
let me know what you get
To solve this problem, we can set up a system of equations. Let's use the following variables:
Let x represent the number of calories in a cheeseburger.
Let y represent the number of calories in a medium fry.
Based on the given information, we can write the following equations:
4x + 3y = 2290 (equation 1)
6x + 2y = 2560 (equation 2)
Now we can solve this system of equations to find the values of x and y.
To eliminate y, we can multiply equation 1 by 2 and equation 2 by 3:
8x + 6y = 4580 (equation 3)
18x + 6y = 7680 (equation 4)
By subtracting equation 3 from equation 4, we can eliminate y:
18x - 8x + 6y - 6y = 7680 - 4580
10x = 3100
Dividing both sides of the equation by 10, we find:
x = 310
Substituting the value of x into equation 1, we can solve for y:
4(310) + 3y = 2290
1240 + 3y = 2290
3y = 2290 - 1240
3y = 1050
y = 350
Therefore, each cheeseburger contains 310 calories, and each medium fry contains 350 calories.