SOLUTION: Mrs.Boyd had a desk full of quarters and nickles. If she has a total of 11 coins with a total face value of $1.55, how many of the coins are nickles?

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Question 842576: Mrs.Boyd had a desk full of quarters and nickles. If she has a total of 11 coins with a total face value of $1.55, how many of the coins are nickles?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

total of 11 coins (quarters + nickles = 11)

how many highlight_green%28x%29 of the coins are nickles

Number of Quarters highlight_green%2811-x%29

CENTS makes sense

 25(11-x) + 5x = 155¢

  25•11 - 25x +5x = 155

  25•11 - 155 = 20x

       120 = 20x

         6 = x, the number of Nickels.  The number of Quarters is 5.   11-6

CHECKING our answer***

 5•25 + 6•5  = 155¢   0r $1.55

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