let q is the number of quartters and let d is the number of dimes

so it will be: q + d = 25 we know that a quarter represents the value of 0.25 $

and that the a dime represents the value of 0.10 $

then it will be: 0.25q + 0.10d = 5.05 from the first equation we get q = 25 - d puttimg this to second equation

we get: 0.25(25-d) + 0.10d = 5.05 ->>> 6.25 - 0.25d + 0.10d = 5.05 ---->>> -0.15d = -6.25 + 5.05 -->>>

-0.15d = -1.2 -->>> -1.2/-0.15 = d = 8 tom has 8 dimes. so 25-8 = 17 quarters

answer: Tom has. 8 dimes and 17 quarters

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