SOLUTION: Alan has 14 coins.they are 5c,10c and 20c.the total value of the coins is $1.75.he has twice as many 10c coins as 5c.how many 20 c coins are there?please help me Thanks

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Alan has 14 coins.they are 5c,10c and 20c.the total value of the coins is $1.75.he has twice as many 10c coins as 5c.how many 20 c coins are there?please help me Thanks      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1012665: Alan has 14 coins.they are 5c,10c and 20c.the total value of the coins is $1.75.he has twice as many 10c coins as 5c.how many 20 c coins are there?please help me
Thanks
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Set-up the system, and the rest is to solve the system.

x, y, z, how many of each coint 5c, 10c, 20c.

system%28x%2By%2Bz=14%2Cy=2x%2C0.05x%2B0.1y%2B0.20z=1.75%29

Simplify the money count equation.
x%2B2y%2B4z=35
and substitute for y in this and the coin count equation.

system%28x%2B2x%2Bz=14%2Cx%2B2%2A2x%2B4z=35%29

system%283x%2Bz=14%2C5x%2B4z=35%29----can you do the rest?