M messa New member Joined Mar 19, 2005 Messages 29 Sep 30, 2005 #1 my question is: If q and r are whole numbers such that 109=5q-r and 0<r<5, find q and r. What I did was picked a number for r because it has to be between 1 and 4 I picked 4. 109=5q-r 109=5q-4 113=5q q=22.6 I know that's not the right answer though because what about 1,2, and3? Can somebody please help me?

my question is: If q and r are whole numbers such that 109=5q-r and 0<r<5, find q and r. What I did was picked a number for r because it has to be between 1 and 4 I picked 4. 109=5q-r 109=5q-4 113=5q q=22.6 I know that's not the right answer though because what about 1,2, and3? Can somebody please help me?

S soroban Elite Member Joined Jan 28, 2005 Messages 5,588 Sep 30, 2005 #2 Hello, messa! If q and r are whole numbers such that 109 = 5q - r and 0 < r < 5, find q and r. Click to expand... . . . . . . . . . . . . . . .r + 109 Solve for q: . q .= .--------- . . . . . . . . . . . . . . . . .5 Since q is a whole number, the numerator must be divisible by 5. From a choice of r = {1,2,3,4}, the only value is: r = 1 . . . Then: q = 22

Hello, messa! If q and r are whole numbers such that 109 = 5q - r and 0 < r < 5, find q and r. Click to expand... . . . . . . . . . . . . . . .r + 109 Solve for q: . q .= .--------- . . . . . . . . . . . . . . . . .5 Since q is a whole number, the numerator must be divisible by 5. From a choice of r = {1,2,3,4}, the only value is: r = 1 . . . Then: q = 22

M messa New member Joined Mar 19, 2005 Messages 29 Sep 30, 2005 #3 okay, so even if i didn't know to solve for q, i could have substituted 1-4 in for r and used the only one that gave me a whole number? thanks a bunch

okay, so even if i didn't know to solve for q, i could have substituted 1-4 in for r and used the only one that gave me a whole number? thanks a bunch