# 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. 👁
4. ℹ️
5. 🚩

## Similar Questions

1. ### maths

I have 30 coins consisting of 5c coins and 20c coins. The total value of the coins is \$3.45. How many of each kind do I have? some hellp please!

2. ### 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

3. ### 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

4. ### 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?

1. ### 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

2. ### 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

3. ### 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

4. ### math

SOLVING SYSTEMS: 30 coins having a value of \$3.30 consists of nickels, dimes and quarters. If there are twice as many quarters as dimes, how many coins of each kind were there? -Thank you!

1. ### Mathematics

How many ways can you make change for 60 cents (60¢), using only quarters (25¢ coins), dimes (10¢ coins), and nickels (5¢ coins)?

2. ### Intermediate algebra

A collection of nickels dimes and quarters consists of 50 coins with a total of \$5.50. If there are two times as many dimes as quarters find the number of each type of coins?

3. ### math

Andrew has \$2.75 in nickels and quarters in his coat pocket. If he has a total of 15 coins, which system of equations could you use to find the number of quarters in Andrews coat pocket? 1)x+y=15 0.5x+0.25y=2.75 2)x+y=2.75 x+y=15

4. ### algebra 95

There are a total of 198 coins in a bag, all of which are nickels, dimes, and quarters. The number of nickels is four times the number of quarters. There are twice as many quarters as there are dimes. If the total amount of money