You have dimes and quarters in your pocket. there are 12 coins that total $2.25. write and solve a system of linear equations to find the number of dimes and the number of quarters

Hence the System of equation are

There are 5 dimes and 7 quarters in my pocket.

Step-by-step explanation:

Let Number of dimes be 'x'.

Also Number of quarters be 'y'.

Now Given:

Total Number of Coins = 12

So the equation can be framed as;

Also Given:

Total Amount in pocket = $2.25

Now we know that 1 dime = $0.1

Also 1 quarter =$0.25

So the equation can be framed as;

Hence the System of equation are

Now Solving the equation we get;

Now Multiplying equation 2 by 10 we get;

Now Subtracting equation 1 from equation 3 we get;

Now Substituting the value of y in equation 1 we get;

Hence there are 5 dimes and 7 quarters in my pocket.

(3x-8) or (3x+8)

step-by-step explanation: