Math

posted by .

PLEASE I NEED HELP......
Two pieces of cake weigh as much as one apple and one cherry. One apple weighs as much as five cherries and one piece of cake. How many cherries weigh as much as one apple?

  • Math -

    first let's represent their weights using variables:
    let C = weight of one piece of cake
    let A = weight of one apple
    let H = weight of one cherry
    from the first statement,
    (1) 2C = A + H
    for the second statement,
    (2) A = 5H + C
    now we need to find how mach does cherries weigh as much as 1 apple. thus we need to manipulate these equations so that the weight of cake, C will not be involved in the final equation (in other words, we'll eliminate C)
    first, from equation (2), we transpose C to the left side and A to the right side, and multiply both sides by 2, and it becomes:
    -2C = -2A + 10H
    then we add this to equation (1):
    2C = A + H
    -2C = -2A + 10H
    ---------------------
    0 = -A + 11H
    A = 11H
    therefore, 1 apple weighs as much as 11 cherries.

    hope this helps~ :)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Three boxes are labeled peaches, apples, and peaches & apples. Each box is labeled incorrectly. You may select only one piece of fruit from one box. How can you do this so that you can label the boxes correctly?
  2. Math

    Two pieces of cake weigh as much as one apple and one cherry. One apple weighs as much as five cherries and one piece of cake. How many cherries weigh as much as one apple?
  3. MATH

    nan brought an apple for snack time.she gave 3/4 of the apple to will and 1/6 of the apple to nora.how much of the apple did nan have left?
  4. Math

    2 apples weigh the same as a banana and a cherry.A banana weighs the same as nine cherries.How many cherries weigh the same as one apple
  5. math

    Two of alexandra apples weigh the same as a banana.A banana and a cherry weigh the same as nine cherries. How many cherries weigh the same as one of Alexandras apples
  6. English

    I urgently need you to check these questions: 1) When and where were you born?
  7. English

    apple of my eye: One's favorite person; the one you love most. In Old English, the pupil of the eye (the round, dark center) was called the 'apple'. It was thought that the pupil was a round object much like an apple. When you look …
  8. Algebra

    Steve and Belinda are selling pies for a school fundraiser. Customers can buy apple pies and cherry pies. John sold 3 apple pies and 9 cherry pies for a total of $183. Belinda sold 6 apple pies and 13 cherry pies for a total of $276. …
  9. Algebra

    Set up and solve a system of equations for each problem John and Belinda are selling pies for a school fundraiser. Customers can buy apple pies and cherry pies. John sold 3 apple pies and 9 cherry pies for a total of $183. Belinda …
  10. English

    1. I like apples. 2. I like an apple. 3. I like the apple. 4. I like one apple. --------------------- In #1, the word 'apples' is in generic use. What about #2?

More Similar Questions