SOLUTION: Write a system of two equations in two unknowns and solve by the method of your choice. Don�t forget to show the methodology. Irving has 35 coins, consisting of only dimes and nick

Question 305594: Write a system of two equations in two unknowns and solve by the method of your choice. Don�t forget to show the methodology. Irving has 35 coins, consisting of only dimes and nickels. If the value of his coins is $3.30, how many nickels and dimes does he have? Suppose, in the problem above, that Irving�s total cash was only $2.50. Then, how many nickels and dimes would he have? Again, solve by the method of your choice.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
d+n=35 or d=35-n
.05n+.10d=3.30
.05n+.10(35-n)=3.30
.05n+3.50-.10n=3.30
-.05n=3.30-3.50
-.05n=-.20
n=-.20/-.05
n=4 nickels.
d=35-4=31 dimes.
Proof:
.05*4+.10*31=3.30
.20+3.10=3.30
3.30=3.30
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