# linear diophantine equ.

• January 27th 2009, 06:13 PM
Sally_Math
linear diophantine equ.
find the 5 diff. ways a collection of 100 coins-pennies, dimes, and quarters- can be worth exactly worth \$4.99.
• January 27th 2009, 07:49 PM
ThePerfectHacker
Quote:

Originally Posted by Sally_Math
find the 5 diff. ways a collection of 100 coins-pennies, dimes, and quarters- can be worth exactly worth \$4.99.

$p+d+q=100$ and $p+10d+25q = 499$.
Thus, $9d + 24q = 399$.
What are the possibilities for $d,q$ then?