SOLUTION: The value of a number of nickels and quarters is $3.25. If the number of nickels is increased by 3 and the number of quarters is doubled, the value would be $5.90. Find the numbe

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The value of a number of nickels and quarters is $3.25. If the number of nickels is increased by 3 and the number of quarters is doubled, the value would be $5.90. Find the numbe      Log On


   

Question 1002783: The value of a number of nickels and quarters is $3.25. If the number of nickels is increased by 3 and the number of quarters is doubled, the value would be $5.90. Find the number of each
Answer by ikleyn(52832) About Me  (Show Source):
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The value of a number of nickels and quarters is $3.25. If the number of nickels is increased by 3 and the number of quarters is doubled, the value would be $5.90. Find the number of each.
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Let n = # of nickels and
    q = # of quarters.

Then you have a system of 2 equations in 2 unknowns

5n + 25q = 325,
5*(n+3) + 25*2q = 590.

Solve it for n and q.