Question 857342
 
 
 
If you Let X=dimes, then 
2(X)*0.05 nickels + X*0.1 dimes + (X-5)*0.25 = $5.95
{{{X*0.1 + X*0.1 + X*0.25 - 1.25 = 5.95}}}
Then, add 1.25 to both sides,
{{{X*0.1 + X*0.1 + X*0.25 = 7.20}}}
Combine Like Terms
{{{X*0.45 = 7.20}}}
Divide by 0.45 on both sides
{{{X = 16}}}
You have X dimes, 2X nickels, and X-5 quarters.
Substitute to get 16 dimes, 32 nickels, and 11 quarters.
 
To check, see if {{{16*0.1 + 32*0.05 + 11*0.25 = 5.95}}}
{{{1.6+1.6+2.75=5.95}}}
{{{5.95=5.95}}} True
 
Your final, checked answer is 16 dimes, 32 nickels, and 11 quarters.