This is the concept of application of quadratic equations; To get the number of dimes and quarters we proceed as follows; suppose there are x dimes and y quarters; x+y=95.......i but we know; $0.1=1 dimes $0.25=1 quarters thus 0.1x+0.25y=23.45.....ii solving equation i and ii by substitution we shall have: from i; x=95-y thus substituting the value of x in equation ii we get 0.1(95-y)+0.25y=23.45 9.5-0.1y+0.25y=23.45
collecting like terms we get: 0.15y=13.95 dividing both sides by 0.15 we get; y=13.95/0.15=93 x=95-93=2 therefore we conclude that there were 2 dimes and 93 quarters
