algebra

posted by .

Al has 76 nickels and dimes worth$5.55. How many of each coins does Al have?

  • algebra -

    Let x = # nickels and y = # dimes

    x = 76 - y

    5x + 10y = 555

    Substitute 76-y for x in second equation and solve for y. Insert that value into the first equation and solve for x. Check by inserting both values into the second equation.

  • algebra -

    Agree with this solution.

    Worth pointing out that x = 76 - y originates from the formula x + y = 76. In case Jay / anyone else can't seem to get that far when solving similar problems on their own.

    5x + 10y = 555 because a nickel is worth 5 cents and dime is worth 10, for a total of 555 cents. When doing these in school I would sometimes assign a variable like n and d so I'd never forget what a variable represents or accidentally get them switched around in my answer.

    This also carries over nicely when solving problems like these in computer programming.

    Good stuff PsyDAG

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. algebra help

    Solve the problem. Joe has a collection of nickels and dimes that is worth $6.00. If the number of dimes were doubled and the number of nickels were increased by 6, the value of the coins would be $9.90. How many dimes does he have?
  3. Math

    Joe has a collection of nickels and dimes that is worth $6.05 if the number of dimes was double and the number of nickels was decreased by 10 the value of the coins would be $9.85 how many nickels and dimes does he have?
  4. math

    Joe has a collection of nickels and dimes that is worth $8.55. If the number of dimes was tripled and the number of nickels was decreased by 2, the value of the coins would be $23.45. How many nickels and dimes does he have?
  5. math

    Joe has a collection of nickels and dimes that is worth $6.20. If the number of dimes was doubled and the number of nickels was decreased by 37, the value of the coins would be $8.85. How many nickels and dimes does he have?
  6. Algebra

    I have19 coins that are worth a total of $1.10.If they consist only of dimes and nickels, then how many nickels do I have?
  7. algebra

    Gail has a collection of nickels, dimes, and quarters that is worth $7.95 altogether. If she has three more nickels than dimes, and 38 coins altogether, then how many of each kind of coin does she have?
  8. algebra

    total $3.25 worth of coins nickels, dimes, quarters 2morenickels than dimes 1 more quarter than nickels how many of each coin
  9. 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?
  10. algebra

    No. 2 alyssa has some coins in her purse consisting of pennies, nickels and dimes. She has 2 more nickels than dimes and thrice as many pennies as nickels. If the total is 0.52 dollars how many coins of each kind does she have.

More Similar Questions