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 don't know where to go from there?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. "twice as many pennies as nickels"
    number of nickels ----- x
    number of pennies --- 2x
    "four more dimes than quarters"
    number of quarters --- y
    number of dimes ---- y+4

    5x + 2x + 25y + 10(y+4) = 201
    7x + 35y = 161
    divide by 7
    x + 5y = 23
    y = (23-x)/5

    since y must be a whole number, 23-x must be a multiple of 5
    x y, there are only 4 cases
    3 4
    8 3
    13 10
    18 1

    check:
    case 1: x=3, y = 4
    nickels = 3, pennies= 6, quarters = 4, dimes = 8
    value = 15+ 6 + 100 + 80 = 201 , yup!!

    case 2: x = 8, y = 3
    nickels = 8 , pennies = 16, quarters = 3, dimes = 7
    value = 40 + 16 + 75 + 70 = 201 , yup!!

    I will leave it up to you to verify the other two cases
    and then to state a conclusion

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. you forgot to add up all the values.
    p+5n+10d+25q = 201
    Now, as you say, you also have
    p = 2n (twice as many, not 4x as many)
    d = 4+q

    Now, there may not be a unique solution, since you have only three equations for four unknowns. But let's start substituting and see where we get:
    p+5n+10d+25q = 201
    2n+5n+10d+25q = 201
    7n + 10(4+q)+25q = 201
    7n + 40 + 10q + 25q = 201
    7n+35q = 161
    n+5q = 23
    Clearly, q <= 4, so check the possibilities:
    q=4, n=3
    q=3, n=8
    q=2, n=13
    q=1, n=18
    q=0, n=23

    Check the combinations:
    (p,n,d,q) = (6,3,8,4): 6+3*5+8*10+4*25 = 6+15+80+100 = 201
    and you can check the others...

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. the answers are so bad bro

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

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

  2. math

    how many ways can you make 45 cents with pennies, dimes, nickels,and quarters????? help me as fast as you can this is worth 1/2 my grade

  3. 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

  4. math

    A charity organization is collecting change to raise monay. They have collected twice as many dimes as quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels. a) define a variable for the number of quarters

  1. Math

    A charity organization is collecting change to raise money. They have collected three times as many dimes as quarters, 11 more nickels than dimes, and 2 times as many pennies as nickels. Let x represent the number of quarters.

  2. 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

  3. Math

    A coin purse contains 10 pennies, 5 nickels, 3 dimes, and 2 quarters. Two coins are selected without the first one being replaced. Find P(quarter, then nickel).

  4. math

    Julie is going to the mall. She has 15 coins in her pocket that nadd up to $2.18. She has the same number of pennies as she does dimes. she has 5 more quarters than she has nickels. If she has 3 pennies, how many quarters, dimes

  1. 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?

  2. 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?

  3. 8th gr. Algebra

    I have 3 math problems for homework that are stumping me. Can anyone help guide me? Thanks! Here they are: 1. A full bucket of water weighs eight kilograms. If the water weighs five times as much as the empty bucket, how much does

  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

View more similar questions or ask a new question.