d = number of dimes

101 - d = number of quarters {he has 101 coins total}

0.1d + 0.25(101 - d) = 14 {value of coin times number of coins equals total value}

0.1d + 25.25 - 0.25d = 14 {used distributive property}

-0.15d + 25.25 = 14 {combined like terms}

-0.15d = -11.25 {subtracted 25.25 from each side}

d = 75 {divided each side by -0.15}

101 - d = 26 {substituted 75, in for d, into 101 - d}

**75 dimes and 26 quarters***- Algebra House*
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