SOLUTION: Jeramie has a jar of nickels and dimes. There are 200 coins worth $14.00. How many of each type of coin are in the jar?

Algebra.Com
Question 67646: Jeramie has a jar of nickels and dimes. There are 200 coins worth $14.00. How many of each type of coin are in the jar?
Answer by ptaylor(2198)   (Show Source): You can put this solution on YOUR website!
Letx=number of nickels
Then 200-x=number of dimes

Now lets deal in pennies to keep down confusion.
We are told that:
5x+10(200-x)=1400 all in pennies; divide each term by 5
x+2(200-x)=280 clear parens
x+400-2x=280 subtract 400 from both sides
-x=-120
x=120----------------------number of nickels
200-x=200-120=80-------------number of dimes
ck
120(5)+80(10)=1400
600+800=1400
1400=1400

Hope this helps----ptaylor

RELATED QUESTIONS

A jar of change has 28 coins which is worth $2.60. If the jar only has nickels and dimes, (answered by macston)
A jar of change has 28 coins which is worth $2.60. If the jar only has nickels and dimes, (answered by macston)
A coin jar contains a mixture of dimes and nickels worth $3.25. The jar contains 45... (answered by Alan3354)
A jar contains 125 coins including only nickels dimes and quarters worth $21.90. There... (answered by richwmiller)
a jar of coins contains only nickels and dimes. There are 500 coins in the jar and the... (answered by JulietG)
A jar contains 50 nickels and dimes worth $3.40. How many of each kind of coin are in... (answered by ewatrrr)
A jar contains 50 nickels and dimes worth $4.30. How many of each kind of coin are in the (answered by AnlytcPhil,macston,Alan3354)
A jar of coins has 48 coins worth $4.50 in it. All the coins are nickels and dimes.... (answered by josmiceli)
Use substitution to solve Drew has a coin jar with a small collection of nickels and (answered by ikleyn)