adam has dimes and quarters in his pocket. there are 28 coins in all, and they are worth $4.60 altogether. how many quarters does he have?
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let d and q = the number of units.
d + q = 28
0.10d + 0.25q = 4.60 => the values of 0.10 and 0.25 are the values of a dime and a quarter
you only need to find q, so we can work on that one first.
d = 28 - q [from the first equation]
plug that d in the second equation:
0.10(28 - q) + 0.25q = 4.6
the equation is now only in terms of q and you can solve.
that's it. if you want to find how many dimes, you can plug q in the first equation.
lmk if i should keep solving or if you got it :)