algebra

Joe has a collection of nickles and dimes that is worth $7.65.If the number of dimes was doubled and the number of nickles was increased by 35, the value of the coins would be $14.30. How many nickles and dimes does he have?

  1. 👍 0
  2. 👎 0
  3. 👁 145
  1. It's spelled nickels.

    Let x = number of nickels (originally)
    let y = number of dimes (originally)

    5x + 10y = 765

    5*(x + 35) + 10*(2y) = 1430
    5x + 20y = 1430 - 175 = 1255

    The x terms are easily eliminated
    10 y = 490

    y = 49
    5x = 765 - 490 = 275
    x = 55

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    If 25 times were moved from Box A to Box B, there would be an equal number of dimes in both boxes. If 100 dimes were moved from Box B to Box A, the ratio of dimes in Box A to Box B would be 7:2. What was the original number of

    asked by john on July 21, 2014
  2. math

    If 25 dimes were moved from Box A to box B there would be an equal number of dimes in both boxes. If 100 dimes were moved from Box B to Box A, the ratio of dimes in box A to box B would be 7:2. What was the original number of

    asked by kkkkkkkkkkkkkkkkk on May 14, 2016
  3. math

    A collection of coins has a value of 64 cents. There are two more nickels than dimes and three times as many pennies as dimes. How many of each kind of coins are there?

    asked by john on January 28, 2018
  4. math

    If 25 dimes were moved from Box A to Box B, there would be an equal number of dimes in both boxes. If 100 dimes were moved from Box B to Box A, the ratio of dimes in Box A to Box B would be 7 : 2. What was the original number of

    asked by Sammantha on April 22, 2015
  5. 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. 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
  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

    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
  4. ALGEBRA

    Mae open her coin purse and found pennies,nickels and dimes with a total value of $2.85.If there are twice as many pennies as there are nickels and dimes combined.How many pennies,dimes and nickels are there if she has a

    asked by vincent on September 18, 2015
  5. math

    Abel Save a 43 more nickels than dimes. After he spents 17 dimes, he had twice as many nickel than dimes . How many coins did he have left ? Is the below answer is correct because in question he is saying twice as many nickel than

    asked by Gayatri on January 4, 2016
  6. Math

    Abel Save a 43 more nickels than dimes. After he spents 17 dimes, he had twice as many nickel than dimes . How many coins did he have left ? not like this answer below need the chart model : number of dimes --- x number of nickels

    asked by Gayarhri on January 4, 2016

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