Question

A number of robbers were discussing how best to share some stolen rolls of

toilet paper. They said that if each robber had 6 rolls, 5 rolls would be left, but
if each robber had 7 rolls, they 8 rolls short. How many rolls of toilet
paper do they have?

Answer 1

83

Explanation:

Let the number of robbers be x

If they share 6 rolls each, the tota rolls will be 6x and since they have five remainder, the overall total is then 6x+5

In case they share 7 rolls each, it means they have 7x rolls but here they will be less 8 rolls hence 7x-8 is the overall total.

Equating these two

7x-8=6x+5

Arranging similar terms

7x-6x=8+5

x=13

Therefore, the robbers are 13

The rolla they have will be

6(13)+5=83

Or

7(13)-8=83