#### Explanation:

Dime value =10 cents =$0.1 Nickel value =5 cents =$0.05

Let $x$ be the number of dimes , then $50 - x$ is the number of nickels.

By given condition , $x \cdot 0.1 - \left(50 - x\right) \cdot 0.05 = 2.30 \mathmr{and} 0.1 x + 0.05 x = 2.30 + \left(50 \cdot 0.5\right) \mathmr{and} 0.15 x = 2.30 + 2.50 \mathmr{and} 0.15 x = 4.80 \mathmr{and} x = \frac{4.80}{0.15} = 32$

Number of dimes is $x = 32$ and worth 32*0.10=$3.20 Number of nickels is $50 - x = 18$and worth 18*0.05=$0.90

Devin has money of 3.20+0.90=\$4.10 [Ans]