SOLUTION: Translate the problem into a pair of linear equations in two variables. Solve using elimination or substitution. Joe has a collection of nickels and dimes that is worth $5.65 .

Question 266930: Translate the problem into a pair of linear equations in two variables. Solve using elimination or substitution.
Joe has a collection of nickels and dimes that is worth $5.65 . If the number of dimes was doubled and the number of nickels was increased by 2, then the value of the coins would be $10.15 . How many dimes does he have?
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
take it sentence by sentence
"Joe has a collection of nickels and dimes that is worth $5.65 "
this means:

"If the number of dimes was doubled and the number of nickels was increased by 2, then the value of the coins would be $10.15"
this means: (2nickels=$.10)

I would use Substitution method

Plug D in to other equation

this equals value of the nickels, divide by .05 for answer
25 nickels
_______________________
Plug N=1.25 into 1st equation

this equals value of the dimes divide by .10 for answer
44 dimes

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