Math

posted by .

You have some quarters and some nickels in your pocket in total you have 7 coins and together they are worth 95 cents how many nickels and how many are quarters?

I know the equations will have something to do with the 7 couns and they are worth 95 cents all together

Is one of them x+y=95

  • Math -

    I know that there will be 3 quarters and 4 nickels because 3 quarters is 75cents and 4 more nickels equals 95, but how would I make 2 equations for the problem.

  • Math -

    Actually one of them is x+y=7

  • Math -

    right. x+y=7
    that counts the coins. Now you have to count the value.

    If you have x nickels and y quarters, then

    5x+25y = 95

    Now, you can insert your first equation into this one as follows:

    5x+5y+20y = 95
    5(x+y)+20y = 95
    5(7)+20y = 95
    35+20y = 95
    20y = 60
    y=3
    so, x=4

    That is how to arrive at the solution algebraically, rather than just guessing.

    There are also other ways to manipulate the equations, but this one seemed quite natural to me.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Jo has 37 coins (all nickels, dimes and quarters) worth $5.50. She has 4 more quarters than nickels. How many of each type of coins does she have?
  2. math

    can someone help explain how to do this? allen has nickels dimes and quarters in his pocket. the number of nickels is 1 more than twice the number of quarters. the number of dimes is 1 less than the number of quarters. if the value
  3. Math

    "Jack has a collection of nickels and quarters. He has a total of 50 coins worth $10.30. How many of each coin does he have?
  4. Math

    Ruthie has 10 coins, all either nickels, dimes, or quarters. She has N nickels, D dimes, and Q quarters, where N, D, and Q are all different, and are each at least 1. Amazingly, she would have the same amount of money if she had Q …
  5. Math

    In a group of quarters and nickels, there are four more nickels than quarters. How many nickels and quarters are the if the coins are worth $2.30?
  6. math

    A jar of coins has only nickels and quarters, which are worth a total of $3.25. There are 5 fewer quarters than nickels. How many quarters and nickels are in the jar?
  7. Algebra

    Solve the problem using matrices. John has a jarful of quarters and nickels. There are 84 coins in the jar. The value of the coins is $13.00. How many of each type of coin are there?
  8. math

    Sam has 18 coins in his pocket that are either quarters or nickels. The total value of these coins is $3.90. Let q represent the number of quarters and n represent the number of nickels. The following system of equations represents …
  9. Algebra

    Kyle has 13 coins in his pocket that are either quarters or nickels. He has $2.05 in his pocket in coins. Let q represent the number of quarters and n represent the number of nickels. The following system of equations represents this …
  10. Word problem

    What about this one guys, I tried setting it up like i was shown on the one similar but i keep getting a negative number. Kelsey has 32 coins in her pocket, all which are nickels and quarters, If the total value of her change is $4.20, …

More Similar Questions