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?

1 Answer
Nov 22, 2016

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]