Question 948058
{{{system(n+d=90,0.05n+0.1d=15.10)}}}


{{{system(n+d=90,n+2d=302)}}}


Subtract the coin count equation from the money count (simplified) equation.
This is using the Elimination Method.
{{{highlight_green(d=212)}}}
IMPOSSIBLE.


Check:  If all coins were nickels, then {{{15.10/0.05=302}}} coins.
If all coins were dimes, then {{{15.10/(0.10)=151}}} coins.
Number of total coins given was 90.
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If all 90 coins were nickels, {{{0.05*90=40}}} dollars.
If they were all dimes, then 80 dollars.
Amount of money given was $15.10.


The problem description is wrong.