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 collection of 90 coins

given:
penny= 1 cent =$0.01
nickel= 5 cents =$0.05
dine= 10 cents =$0.10
quarter= 25 cents =$0.25
half= 50 cents =$0.50
dollar= 100 cents =$1

  1. 👍
  2. 👎
  3. 👁
  1. number of nickels --- n
    number of dimes ---- d
    number of pennies --- n+d

    n + d + n+d = 90
    2n+2d = 90
    n+d = 45 or d = 45-n

    value equation:
    5n + 10d + 1(n+d) = 285
    6n + 11d = 285

    using substitution:
    6n + 11(45-n) = 285
    6n + 495 - 11n = 285
    -5n = -210
    n = 42
    d = 45-42 = 3

    so we have 42 nickels, 3 dimes and 45 pennies

    check:
    do they add up to 90 ? YEAH
    what is their value?
    42(5) + 3(10) + 45(1) = 285. YEAHHH!!!

    1. 👍
    2. 👎
  2. by Reiny's formation of equations,
    eqn.1. should look like n + d + 2(n + d)=90
    3n + 3d=90
    3(n + d)=90
    n + d=30
    n=30 - d

    eqn.2. 5n + 10d + 2(n + d)=285
    7n + 12d=285
    7(30 - d) + 12 d=285
    5d= 70
    [d=15]

    then lets find out n:
    n=30-15
    [n=15]

    lets check if it all adds to 90 coins:
    n + d + 2(n + d)
    15 + 15 + 2(15 + 15)
    30 + 60
    90 coins checks out

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    In Vanessa's coin bank there are 4 times as many quarters as nickels, 2 fewer dimes than nickels, and 15 pennies. The total amount in the bank is $5.80. How many of each coin are in the bank? A. Assign a variable to the unknown

  2. 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

  3. math

    1. Ms.lynch has 21 coins in nickels and dimes. Their total value is $1.65. How many of each coin does she have? 2. A vending machine that takes only dimes and quarters contains 30 coins, with a total value of $4.20. How many of

  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

  1. algebra

    a purse contains 26 coins, some of which are dimes and the rest are nickels. Altogether, the coins are worth more than $2.10. At least how many dimes are in the purse?

  2. Math

    In a collection of nickels, dimes, and quarters worth &6.90, the ratio of the number of nickels to dimes is 3:8. The ratio of the number of dimes to quarters is 4:5. Find the number of each type of coin. Use a coin value chart to

  3. algebra

    Suppose that Maria has 140 coins consisting of pennies, nickels, and dimes. The number of nickels she has is 9 less than twice the number of pennies; the number of dimes she has is 19 less than three times the number of pennies.

  4. math

    In vanessa's coin bank there are 4 times as many quaters as nickels, 2 fewer dimes than nickels, and 15 pennies. the total amount in the bank is $5.80. How many of each coin are in the bank? assign a variable to unknown and write

  1. 8th Grade Algebra

    I need help with these problems: 1) A vending machine takes only nickels and dimes. There are 5 times as many dimes as nickels in the machine. The face value of the coins is $4.40. How many of each coin are in the machine? 2) A

  2. algebra

    A jar contains only pennies, nickels, and dimes. The number of dimes is one more than the number of nickels, and the number of pennies is six more than the number of nickels. How many of each denomination can be found in the jar

  3. Algebra

    Kevin has $6.45 in coins in his cash box. The numbers of quarters is one less than twice the number of dimes. The number of nickels is one less than twice the number of quarters. The value of the pennies is the same as the value

  4. Algebra

    This is a word problem I am supposed to solve with systems. I am having trouble setting it up if anyone could help me. A coin bank contains only dimes and nickels. The bank contains 46 coins. If 5 dimes and 2 nickels were removed

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