algebra

Leah has x half-dollars and y nickels, while James has x quarters and y dimes. Both have a total of 3$ . Compute the ordered pair(x,y).

  1. 👍 0
  2. 👎 0
  3. 👁 482
  1. .50x+.05y=3.00
    .25x+.1y=3.00

  2. We have \begin{align*}
    50x+5y&=300,\\
    25x+10y&=300.
    \end{align*}Multiplying the second equation by $2$ and subtracting it from the first equation, we find $$-15y=-300\Rightarrow y=20.$$Substituting this into the first equation, $$50x+100=300\Rightarrow x=4.$$So the answer is $\boxed{(4,20)}$.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math 213

    The amount of money in cents in a jar containing some nickels and d dimes and some quarters if there are 4 times as many nickels as dimes and twice as many quarters as nickels

    asked by susan on August 18, 2012
  2. math

    In the following, write an expression in terms of the given variables that represents the indicated quantity: a. The cost of having a plumber spend h hr at your house if the plumber charges $30 for coming to the house and $x per

    asked by mary on August 18, 2012
  3. Algebra

    Michael's bank contains only nickels, dimes, and quarters. There are 63 coins in all, valued at $5.50. The number of nickels is 5 short of being three times the sum of the number of dimes and quarters together. How many dimes are

    asked by heather on July 30, 2018
  4. Math

    Mr.Adams had a coin collection including only nickels, dimes, and quarters He had twice as many dimes as nickels and half as many quarters as he had nickels. If the total face value of his collection was $300.00, how many quarters

    asked by Emily on July 14, 2016
  1. Math

    A bag contains twice as many pennies as nickels and four more dimes than quarters. Find all possibilities for the number of each coin if their total value is $2.01. I have pennies = 4n nickels = n dimes = 4 + q quarters = q but I

    asked by Kelley on October 17, 2018
  2. math

    In a collection of coins worth $9.13, there are twice as many dimes as quarters, four more nickels than dimes, and twice as many pennies as nickels. How many of each kind of each coin are in the collection?

    asked by Anonymous on March 9, 2016
  3. algebra

    nestor has nickels, dimes, and quarters amounting to $1.85. if he has twice as many dimes as quarters, and the number of nickels is two less than twice the number of dimes, how many quarters does he have?

    asked by jack on June 16, 2017
  4. Math

    A collection of 30 coins worth $5.50 consists of nickels, dimes, and quarters. There are twice as many dimes as nickels. How many quarters are there?

    asked by Mary on September 9, 2008
  1. 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? A) 49 quarters ; 35 nickels B) 44 quarters; 40

    asked by Heaven on November 23, 2014
  2. MATH (PLease HELp)

    Sally has three times as many dimes as nickels and twice as many quarters as dimes.In all she has $5.55. How many coins of each type does she have? Let 2x=quarters 3x=dimes x=nickles

    asked by Tiffany on October 18, 2011
  3. math

    Sarah has a collection of nickels, dimes, and quarters worth $9.25. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each kind does she have?

    asked by bb on July 13, 2015
  4. Algebra (Mrs.Sue) thank you :)

    Sal keeps quarters,nickels, and dimes in a jar. He has a total of 52 coins. He has three more quarters than dimes and five fewer nickels than dimes. How many dimes does sal have?

    asked by micheal Garcia on April 5, 2012

You can view more similar questions or ask a new question.