Question 103692
Let x=# of dimes, y=# of nickels


So the word problem translates into this system:

{{{x+y=140}}} "A box contains 140 dimes and nickles"
{{{0.1x+0.05y=11.5}}} "The total value is $11.5"


{{{10x+5y=1150}}} Multiply the second equation by 100 to make every value a whole number



So now we get this system:


{{{x+y=140}}}
{{{10x+5y=1150}}}




*[invoke solving_linear_system_by_substitution 1, 1, 140, 10, 5, 1150]



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Answer:


Since x=90 and y=50, this means that we have 90 dimes and 50 nickels