SOLUTION: There are 8 more nickels than dimes in a piggy bank. In total, there is $1.60. How many nickels? Make sure to define your variable, write an equation, solve the equation and write

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Question 1173399: There are 8 more nickels than dimes in a piggy bank. In total, there is $1.60. How many nickels? Make
sure to define your variable, write an equation, solve the equation and write a concluding statement.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

            Since the problem asks about  ONE  unknown and instructs
            to use  ONE  equation,  I will solve the problem accordingly. 


Let x be the number of nickels.

Then the number of dimes is  (x-8).


The total money equation is


    5x + 10(x - 8) = 160   cents.


Simplify and solve


    5x + 10x - 80 = 160

      15x         = 160 + 80 = 240

        x                    = 240/15 = 16.


ANSWER.  16 nickels.


CHECK.  5*16 + 10*(16-8) = 80 + 80 = 160  cents, in total.   ! Correct !

Solved.