SOLUTION: Jess has 3 more nickels than dimes for a total of $1.50. How many of each coin did he have?

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Jess has 3 more nickels than dimes for a total of $1.50. How many of each coin did he have?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 209214This question is from textbook Pre-Algebra
: Jess has 3 more nickels than dimes for a total of $1.50. How many of each coin did he have?
This question is from textbook Pre-Algebra

Found 3 solutions by stanbon, josmiceli, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jess has 3 more nickels than dimes for a total of $1.50. How many of each coin did he have?
-----------------------
Quantity Eq: n = d + 3
Value Eq: 5n + 10d = 150 cents
-------------------------------------------
Substitute to solve for "d":
5(d+3)+10d = 150
15d + 15 = 150
15d = 135
d = 9 (# of dimes)
n = d+3 = 9+3 = 12 (# of nickels)
======================================
Cheers,
Stan H.
Reply to stanbon@comcast.net

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose he had all nickels. That would be
150%2F5+=+30 nickels
Suppose I change 10 of those nickels
for dimes. I have
10%2A5+=+50 or 5 dimes
and
20%2A5+=+100 or 20 nickels
Now I'll change nickels into dimes:
-----------------------------------
18 nickels
6 dimes
----------
16 nickels
7 dimes
----------
14 nickels
8 dimes
----------
12 nickels
9 dimes
That looks like the answer- 3 more nickels than dimes
check:
12%2A5+=+60
9%2A10+=+90
90+%2B+60+=+150
OK

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
Jess has 3 more nickels than dimes for a total of $1.50. How many of each coin did he have?

Let the amount of dimes be D

Since he has 3 more nickels than dimes, then he has (D + 3) nickels

Since the coins total $1.50, then we have:
.1D + .05(D + 3) = 1.5

.1D + .05D + .15 = 1.5

.15D = 1.35

D+=+1.35%2F.15+=+highlight_green%289%29 dimes

Since he has 3 more nickels than dimes, then he has 9 + 3, or highlight_green%2812%29 nickels