Math coin riddle need help please

I have 56 coins consisting of nickels and quarters. The total value of the coins is $5.60. How many of each coin do I have?


Algebra to the rescue...

NN is number of nickles
ND is the number of quarters.

NN*.05 + ND*.25=$5.60
but NN + ND=56

two equations, two unknowns, solve.


its very simple.
let one varible be a representation of the other one.
from there you can plug the equation in.

whenever you have two equations and two variables in each, you follow the steps above to solve them.


How does 42 nickels 14 quarters sound?

n:number of nickels
q:number of quarters

Equation 1: n+q=56
Equation 2: 5n+25q=560

multiply all of Equation 1 by 5-->
5n+5q=280
then subtract this new equation from Equation 2
5n+25q=560
5n+5q=280
-_________
20q=280
solve for q
q=14
therefore n=42

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    There are 25 coins inside a container. Some of the coins are nickels, and the rest are quarters. The value of the coins is $4.05. Let n represent the number of nickels, and let q represent the number of quarters. Which system of

  2. Math

    "Jack has a collection of nickels and quarters. He has a total of 50 coins worth $10.30. How many of each coin does he have?" I got the answer of 39 quarters and 11 nickels by trial and error. Can someone tell me the correct way

  3. College Algebra

    A box contains $7.80 in nickels, dimes, and quarters. There are 46 coins in all, and the sum of the numbers of nickels and dimes is 2 less than the number of quarters. How many coins of each kind are there? Here is my work so far:

  4. Math

    Two coins are taken at random (without replacement) from a bag containing 4 nickels, 8 dimes, and 3 quarters. Let X denote the random variable given by the total value of the two coins. Find E(X). (Round your answer to four

  1. math

    a box contains 22 coins consisting of quarters and dimes. the total value of the coins is $3.55. determine the number of quarters and the number of dimes in the box?

  2. algebra

    Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have?

  3. messy systems

    Jack has a collection of new nickels and quarters. He has a total of 50 coins worth $10.30. How many of each coin does he have?

  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

    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

  2. math

    Winborne has 35 coins consisting of dimes and nickels. If the value of his coins is $3.30 then how many of each type does he have? Please help to check on correct answer my answer is 31 dimes and 3 nickels

  3. 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

  4. Algebra

    Your friend claims that she has a bag of 30 coins containing nickels, dimes, and quarters. The total value of the 30 coins is $3. There are twice as many nickels as there are dimes. Is your friend correct? Explain your reasoning

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