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

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Question 305549: 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 solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of dimes.

Let represent the number of nickels.

Then



Which is to say:



Each dime is worth 10 cents. Each nickel is worth 5 cents. And $3.30 is 330 cents, so:



Substitute for



Just solve for

For the second part of the question:



And solve for

John