SOLUTION: An apple contains 140 calories and 2 g of fiber. A banana contains 95 calories and 5 g of fiber. Set up a system of equations that could be solved to determine the number of apples

Question 1098948: An apple contains 140 calories and 2 g of fiber. A banana contains 95 calories and 5 g of fiber. Set up a system of equations that could be solved to determine the number of apples (AA) and bananas (BB) that should be eaten to obtain 3620 calories and 110 g of fiber.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

140*A + 95*B = 3620,     (1)    (counting calories)
  2*A +  5*B =  110.     (2)     (counting fiber)


The setup is done.

And since the post does not ask to solve it, I leave it without the solution.

------------
For solution of word problems using systems of 2 equations in 2 unknowns, see the lessons
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
    - Using systems of equations to solve problems on investment
    - Two mechanics work on a car
    - The Robinson family and the Sanders family each used their sprinklers last summer
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

RELATED QUESTIONS
(1 point) An apple contains 100 calories and 5 g of fiber. A banana contains 170 calories (answered by josmiceli)

An apple contains 110 calories and 2 g of fiber. A banana contains 120 calories and 3 g... (answered by ikleyn)

I am stuck on this problem, can someone assist me please? Thank you. Most... (answered by Theo)

Nicole started a new diet that requires each meal to have 280 calories, 4 grams of fiber, (answered by greenestamps)

The nutrition information on the cereal box says that a 1/3 cup serving provides 140... (answered by stanbon,josmiceli)

A serving of apple provides 52 calories and 14 grams of carbohydrates, while a serving of (answered by ikleyn)

Coconut flakes that contain 18% fiber and walnuts which contain 10% fiber are combined to (answered by josgarithmetic)

A punch recipe uses 2 parts of pineapple juice to 3 parts of apple juice. If one cup of... (answered by josmiceli)

Write a system of linear equations, and then use the system to solve the problem. A... (answered by scott8148)