To calculate: the calorie content of each item.
Answer to Problem 43E
There are 550 calories in a cheeseburger and 320 calories in a small order of French fries.
Explanation of Solution
Given information:
Two cheeseburgers and one small order of French fries contain a total of 1420 calories.Three cheeseburgers and two small orders of fries contain a total of 2290 calories.
Calculation:
Assume x represents calories in a cheeseburger and y represents calories in a small order of French fries. Then according to the given information we can form two equations which are as follows.
As we got two equations in two variables we can solve it by using any method.
Let us use elimination method to solve the above equations which is as follows.
Multiply the first equation by -2 to produce coefficients of y that differ only in sign.
Now simplify these equations and we get,
Now add the equations together, cancelling out the y variable.
Now as we know the x variable, we can solve for y by substituting it in any of the equations above.
Conclusion:
There are 550 calories in a cheeseburger and 320 calories in a small order of French fries.
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning