SOLUTION: Paul has $3.05 in nickels and dimes. He has ten more nickels than dimes. How many of each coin does he have?

Question 515534: Paul has $3.05 in nickels and dimes. He has ten more nickels than dimes. How many of each coin does he have?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
n = number of nickels
5n = value of nickels in cents
d = number of dimes
10d = value of dimes in cents
.
5n + 10d = 305 cents
.
n = d+10
.
substitute
.
5(d+10) + 10d = 305
.
5d +50 +10d = 305
.
15d = 255
.
d = 255/15 = 17
.
n = d+10 = 27
.
Check the values to be sure this is the answer.
.
5(17) = 85
10(27) = 270
85 + 270 = 355
Correct
.
Answer: He has 17 dimes and 27 nickels.
.
Done.
RELATED QUESTIONS
Mike has $1.75 in dimes and nickels. If he has 5 more nickels than dimes, how many of... (answered by algebrahouse.com)

Bing has $2 in nickels and dimes. He has ten more dimes than nickels. How many dimes does (answered by harpazo)

Paul has $3.45 in nickels and dimes. He has 9 more nickels than dimes. How many of each... (answered by faceoff57)

If jon has four dollars in dimes in nickels and he has seven more dimes than nickels, how (answered by amoresroy)

Ace has $3.15 in nickels and dimes. He has 15 more nickels than dimes. How many of each... (answered by rwm)

Mike has $2.05 in dimes and nickels. If he has 8 more nickels than dimes, how many of... (answered by josmiceli)

Jose has $4.15 in nickels and dimes. He has fourteen more nickels than dimes. How many of (answered by richwmiller)

Ernie has $3.55 in nickels and dimes. He has 14 more nickels than dimes. How many of each (answered by Alan3354)

Jose has $3.85 in nickels and dimes. He has 8 more nickels than dimes. How many of each... (answered by TimothyLamb)