Question

Three boys used the same number of sticks to build some wooden structures. Andrew used 2/5 of his sticks, Benjamin used 3/4 of his and Caleb used 2/3 of his.They had a total of 3488 sticks at first. How many sticks did each boy use?

Answer 1

2/5 a = 3/4 b, so a:b = 15:8

3/4 b = 2/3 c, so b:c = 8:9
a:b:c = 15:8:9
15+8+9 = 32
3488/32 = 109, so
a:b:c = 1635:872:981