Question 750773
x = dimes and y = quarters
Form two equations relating:
1) The number of coins
2) the value of the coins

  x +   y = 26 ....1
10x + 25y = 440....2

Multiply (1) by 25

25x + 25y = 650
10x + 25y = 440

Subtract

15x      =  210
  x     =  14

Substitute x = 14 into Equation 1

 x + y = 26
 14 + y = 26
     y = 26 -14
     y  = 12

So you have 14 dimes and 12 quarters