OK so my friend asked me how to solve this question i didn't know how but tried anyway and got the right answer but i want to know if i did it correctly

Question

6 boys are working on 5 go carts. each boy works on more than one cart. it takes one weekend to make one cart. there are 8 conflicts represented by edges on the vertex edge graph. how many weekends will it take?
the answer is 3
the graph looks like this

A
/ \ \
/ \ \
/ \ \
B----------\----/E
\ \ / /
\ /\ /
\ / \ /
\ / \ /
C-------D

now imagine the lines quite a bit straighter, but if you need a little help there are lines between

a-b
a-e
a-d
b-c
b-e
c-d
c-e
d-e

please tell me how to solve this problem correctly

Answer 1

OK ignore the graph the spaces didn't stay when i submitted it the verticies form a pentagon