SOLUTION: Mark has a total of 21 coins consisting of nickels and quarters. The total value of the coins is $2.45. How many of each type of coin does he have?

Question 1145239: Mark has a total of 21 coins consisting of nickels and quarters. The total value of the coins is $2.45. How many of each type of coin does he have?

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
n nickels
q quarters

, accounting for coins

, accounting for $dollars

------------------simplify this and solve.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

If all the coins were nickels, the value would be 21($.05) = $1.05.
The actual total value is $2.45, which is $1.40 more than $1.05.
Trading a quarter for a nickel keeps the total number of coins the same but increases the total by $.25-$.05 = $.20.
To make the correct total of $2.45, the number of nickels that need to be traded for quarters is $1.40/$0.20 = 7

ANSWER: 7 quarters; the rest (14) nickels

CHECK: 7($.25)+14($.05) = $1.75+$.70 = $2.45
RELATED QUESTIONS
Mark has a total of 41 coins consisting of nickels and quarters the total value of the... (answered by josgarithmetic,greenestamps)
mark has 42 coins consisting of dimes and quarters. the total value of his coins is $6.... (answered by lynnlo)
Derek has 60 coins consisting of nickels and quarters. If the total value of the coins is (answered by nyc_function)
Angelo has 18 coins consisting of nickels and quarters. If the total value of the coins... (answered by richwmiller)
You have 73 coins consisting of nickels and quarters. the coins total $11.45. How many... (answered by Alan3354)
A woman has 20 coins consisting of nickels and quarters. The total value is $3.80. How... (answered by mananth)
Travis has a total of 20 coins consisting of nickels and quarters. The total value of the (answered by stanbon)
Travis has a total of 33 coins consisting of nickels and quarters. The total value of the (answered by addingup)
Travis has a total of 31 coins consisting of nickels and quarters. The total value of the (answered by CubeyThePenguin)