Question 812988
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Sarim has $1 in coins 0r 100¢ 
One-fifth of the coins are dimes,  {{{30/5 = 6}}}
two-fifteenths of the coins are nickels, {{{(2/15)30 = 4}}}
and two-thirds are pennies {{{(2/3) 30 = 20}}}
Let x represent the total number of coins
Question states***
{{{(x/5)10 + (2x/15)5 + (2x/3) = 100}}}
Solving for x 
{{{ 2x + (2/3)x + (2/3)x = 100}}}
  6x + 2x + 2x = 300
       10x = 300
          {{{x = highlight(30)}}}

CHECKING our Answer***
   60¢ + 20¢ + 20¢ = 100¢