SOLUTION: I need help writing the equation for this word problem: Rebecca has15 coins consisting of nickels and dimes. The total value of coins is $0.95. How many of each does she have?

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Question 597258: I need help writing the equation for this word problem: Rebecca has15 coins consisting of nickels and dimes. The total value of coins is $0.95. How many of each does she have?






Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Let represent the number of nickels. Let represent the number of dimes. There are 15 coins, so .

Since nickels are worth 5 cents, the value of just nickels is cents. Since dimes are worth 10 cents, the value of dimes is . Then, since we have a total value of 95 cents:



Now you have a 2X2 system:



Solve the 2X2 system. Recommend you use the substitution method.

John

My calculator said it, I believe it, that settles it
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