Homework Help: Math coin riddle need help please

Posted by Maddy on Wednesday, August 31, 2005 at 8:19pm.

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

No one has answered this question yet.

Answer this Question

Related Questions

Math - Monica was collecting quarters and nickels in a jar. She kept track of ...
Math problem I need help with - Combination of coins that can be used; fifty-...
math - 1. Ms.lynch has 21 coins in nickels and dimes. Their total value is $1.65...
College Algebra - A coin jar contains nickels, dimes and quarters. There are 46 ...
algebra - Please help....struggling with word problems and please explain how to...
algebra word problems - you have 95 coins that total $10.75. the coins consist ...
8th gr. Algebra - I have 3 math problems for homework that are stumping me. Can ...
Algebra - Mrs. Boyd has a desk full of quarters and nickels. If she has a total ...
Math - Marsha has nickels, dimes, and quarters. She has 207 coins total. Marcy ...
Math - Cindy had $1.08 using 9 coins. She had as many pennies as dimes. ___ ...

For Further Reading

First Name:
School Subject:
Answer: