Question

Devin has a total of fifty nickels and dimes. The dimes come to $2.30 more than the nickels How much money does he have?

Answer 1

Devin has `$4.10` of money .

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*0.1-(50-x)*0.05=2.30 or 0.1x+0.05x=2.30+(50*0.5) or 0.15x = 2.30+2.50 or 0.15x = 4.80 or x= 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]