SOLUTION: When the positive integer x is divided by 8, the remainder is 3. What is the remainder when 3x+3 is divided by 8? a) 1 b)2 c)3 d)4 e)5

Question 883923: When the positive integer x is divided by 8, the remainder is 3. What is the remainder when 3x+3 is divided by 8?
a) 1
b)2
c)3
d)4
e)5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
x/8 = q remainder 3

x/8 = q + 3/8

x = 8q + 3

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x = 8q + 3

3x = 3(8q + 3)

3x = 24q + 9

3x+3 = 24q + 9 +3

3x+3 = 24q + 12

(3x+3)/8 = (24q + 12)/8

(3x+3)/8 = 3q + 12/8

(3x+3)/8 = 3q + 8/8 + 4/8

(3x+3)/8 = 3q + 1 + 4/8

(3x+3)/8 = (3q + 1) + 4/8

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So the remainder is 4
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