Question 356764
Let d be the number of dimes and n be thenumber of nickles. You are told
{{{n + d = 52}}} so {{{d = 52 - n}}}
{{{0.05n + 0.1d = 4.50}}}
Now use those two equations to solve
{{{0.05n + 0.1d = 4.50}}} 
{{{5n + 10d = 450}}} 
{{{5n + 10(52 - n) = 450}}}
{{{5n + 520 - 10n = 450}}}
{{{-5n = 450 - 520}}}
{{{-5n = -70}}}
{{{n = 14}}}
So there are 14 nickle.s Which means there must be 52-14=38 dimes
Does 3.80 in dimes + 70 cents in nicles equal 4.50?