# Bob has 20 coins totaling $1.40. If he has only dimes and nickels, how many of each coin does he have? ##### 1 Answer Oct 28, 2016 Bob has $8$dimes and $12$nickels coin. #### Explanation: Dime value ; $10$cents Nickel value ; $5$cents $1.40 =140 cents

Let Bob has $x$ number of dimes.
Then, he has $20 - x$ number of nickels.

By given condition $x \cdot 10 + \left(20 - x\right) \cdot 5 = 140 \mathmr{and} 5 x = 140 - 100 \mathmr{and} x = \frac{40}{5} = 8 \therefore 20 - x = 20 - 8 = 12$

So Bob has $8$dimes and $12$ nickels coin. [Ans]