Question

At a scout jamboree, dinner is served from tinned food. Each tin of soup is shared between 2 scouts. each tin of frankfurters is shared between 3 scouts and each tin of fruit is shared between 4 scouts. If 117 tins are opened to feed all the scouts, how many scouts attended the jamboree

Answer 1

108

Explanation:

Let's assume that there are "x" scouts attending the jamboree.

The number of tins of soup required to feed x scouts would be x/2.

The number of tins of frankfurters required to feed x scouts would be x/3.

The number of tins of fruit required to feed x scouts would be x/4.

Therefore, the total number of tins required to feed x scouts would be:

x/2 + x/3 + x/4 = (6x + 4x + 3x) / 12 = 13x/12

Since we know that 117 tins were opened, we can set up the equation:

13x/12 = 117

Solving for x, we get:

x = 108

Therefore, there were 108 scouts attending the jamboree.