Question 1006932: lisa has $3.80 worth of coins in her wallet, consisting of nickels, dimes, and quarters. she has twice as many nickels as dimes, and 3 times as many quarters as dimes.Write an equation that can be used to find how many of each coin Lisa has.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52795)   (Show Source):
You can put this solution on YOUR website! .
lisa has $3.80 worth of coins in her wallet, consisting of nickels, dimes, and quarters.
She has twice as many nickels as dimes, and 3 times as many quarters as dimes. Write an equation that can be used to find how many of each coin Lisa has.
----------------------------------------------------------------
5n + 10d + 25q = 380,
n = 2d,
q = 3d.
Combine it together:
5*(2d) + 10d + 25*(3d) = 380, or
10d + 10d + 75d = 380, or
95d = 380.
Hence, d =  = 4 dimes.
Now, n = 2d = 8 nickels and q = 3d = 12 quarters.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
lisa has $3.80 worth of coins in her wallet, consisting of nickels, dimes, and quarters. she has twice as many nickels as dimes, and 3 times as many quarters as dimes.Write an equation that can be used to find how many of each coin Lisa has
Let number of dimes be D
Then number of nickels = 2D
Number of quarters: 3D
Equation requested:  ______.1D + .1D + .75D = 3.8_______.95D = 3.8
If you wish to go further, D, or number of dimes = 4
|
|
|
