Question 346536
Total number of coins
1.{{{N+Q=46}}}
Total value of the coins
{{{5N+25Q=560}}}
2.{{{N+5Q=112}}}
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Subtract eq. 1 from eq. 2,
{{{N+5Q-N-Q=112-46}}}
{{{4Q=66}}}
{{{Q=33/2}}}
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Yes, as you found out, something is wrong with the problem.
You cannot reach $5.60 with 46 nickels and quarters.
$5.50 or $5.70 are the closest values for 46 coins.