Question 342225
Total number of coins
1.{{{D+Q=25}}}
Total value of coins
{{{10D+25Q=475}}}
2.{{{2D+5Q=95}}}
From eq. 1,
{{{D=25-Q}}}
Substitute into eq. 2,
{{{2(25-Q)+5Q=95}}}
{{{50-2Q+5Q=95}}}
{{{3Q=45}}}
{{{highlight(Q=15)}}}
Then from eq. 1,
{{{D+15=25}}}
{{{highlight(D=10)}}}
There are 10 dimes and 15 quarters.