Acollection of dimes and quarters is worth $15.25. there are 103 coins in all. how many of each is there?

33 quarters

Step-by-step explanation:

Let D = number of dimes;   Q = the number of quarters

Realize that:    $ = (dollars/coin)*(number of coins)

Given:     $0.10*D + $0.25*Q = $15.25     (eq1)

                   D + Q = 103       (eq2)

Using elimination method to eliminate D (because we want to find Q):

     10*D  +  25*Q   =   1525        (use eq1; multiply by 100; divide by $1)

     10*D   + 10*Q   =   1030        (use eq2; multiply by 10)

                    15*Q  =  495             (subtract equations)

                          Q = 33                 (divide both sides by 15)

step-by-step explanation:

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