SOLUTION: Jane has 35 coins consisting of nickels and quaters. If the total value of the coins is $4.95, how many nickels and how many quarters does she have? You must show the equations and

Question 220180: Jane has 35 coins consisting of nickels and quaters. If the total value of the coins is $4.95, how many nickels and how many quarters does she have? You must show the equations and the work.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
OK, we'll deal in pennies.
Let x=number of nickels; value of the nickels =5x
Then 35-x=number of quarters; value of the quarters=25(35-x)
And we are told that the above values add up to 495, so our equation to solve is:
5x+25(35-x)=495 divide each term by 5----just to reduce the size of the numbers
x+5(35-x)=99 get rid of parens
x+175-5x=99 subtract 175 from each side
x+175-175-5x=99-175 collect like terms
-4x=-76 divide each side by -4
x=19-----------number of nickels
35-x=35-19=16 number of quarters
CK
19*5+16*25=495
95+400=495
495=495
Hope this helps---ptaylor
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