SOLUTION: Anne has $2.35 in nickels and dimes, 27 coins in all. how many nickels does she have? put as an equation

Question 395125: Anne has $2.35 in nickels and dimes, 27 coins in all. how many nickels does she have? put as an equation
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
If N = the number of nickels ($0.05) and D = the number of dimes ($0.10), then:
1) N+D = 27 "Anne has...27 coins in all."
2) ($0.05)N+($0.10)D = $2.35 "Anne has $2.35 in nickels and dimes,..."
Rewrite equation 1) as:
1a) N = 27-D and substitute this for N in equation 2).
2a) ($0.05)(27-D)+($0.10)D = $2.35 Simplify and solve for D.
2b) 1.35-0.05D+0.1D = 2.35
2c) 0.05D = 1.00
2d) D = 20 and N = 27-20 = 7
Anne has 7 nickels.
RELATED QUESTIONS
Kandi has $2.65 in nickels and dimes. If she has 40 coins in all, how many nickels does... (answered by AnlytcPhil,funmath)

Kandi has $2.65 in nickels and dimes. If she has 40 coins in all, how many nickels does... (answered by checkley71)

okay i just don't know how to put this as an equation? Rosa has $3.10 in nickles and... (answered by stanbon)

Sally has 100 coins all of which are dimes, nickels, and quarters. She has $13.00 in... (answered by CubeyThePenguin)

Katie has 30 coins. Some are dimes and some are nickels. In all she has $2.10. How many... (answered by josmiceli)

Paula has twice as many dimes as pennies and three times as many nickels as pennies.She... (answered by ptaylor)

sue has $1.95 in dimes and nickels. If she has 9 more dimes as nickels, how many of each... (answered by Alan3354)

Lily has 27 nickels and dimes in a jar. In all she has 160 cents. How many nickels and... (answered by ewatrrr)

Mary has $5.00 in nickels, dimes, and quarters. If she has twice as many dimes as... (answered by ankor@dixie-net.com)