SOLUTION: How would I set up the following problem?: Samantha has a total of one hundred forty-one pennies, nickels and quarters. She has a total of $15.17. She has 15 more quarters than

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: How would I set up the following problem?: Samantha has a total of one hundred forty-one pennies, nickels and quarters. She has a total of $15.17. She has 15 more quarters than       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 620917: How would I set up the following problem?:
Samantha has a total of one hundred forty-one pennies, nickels and quarters. She has a total of $15.17. She has 15 more quarters than pennies and fifteen fewer quarters than nickels. How many of each coin does she have?

Found 2 solutions by solver91311, richwmiller:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let be the number of nickels. Then is the number of quarters, and which is to say is the number of pennies.

Then is the value of the nickels in cents, is the value of the quarters in cents, and is the value of the pennies in cents. The total value, $15.17, can be expressed as 1517 cents, so:



John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
p+n+q=141
25q+5n+p=1517
q=p+15
q=n-15
p+15=n-15
p=n-30
or
n=p+30
n = 62, p = 32, q = 47