SOLUTION: mary has 30 coins made up of nickels and dimes. Together they are worth 2.40. How many nickels does mary have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: mary has 30 coins made up of nickels and dimes. Together they are worth 2.40. How many nickels does mary have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 554385: mary has 30 coins made up of nickels and dimes. Together they are worth 2.40. How many nickels does mary have?
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Let
Mary has x number of Nickels
Mary has 30-x number of Dimes

Given
Sum of the coins = 2.40 * 100 (Convert $ into cents)
Sum of the coins = 240

Nickels+Dimes=Sum of the coins
5*(x)+10*(30-x)=240
5x+300-10x=240
-5x=240-300
-5x=-60
-5x/-5=-60/-5
x=12
Nickels = x = 12
Dimes = 30-x=30-12=18


Check
=====
= 12 * 5 + 10*18
= 60+180
= 240 cents
= 240/100 (Convert cents into $)
= $2.40