At the beginning of the year,40% of the pupils in the art club were boys.in the middle of the year 25% of the girls left but 8 more boys joined the art club.the number of members became 42.find the total numbers of art club members at the beginning of the year.

1 answer

At beginning of year:
X members in art club.
0.4X boys.
0.6X girls.

In middle of year:
0.75 * 0.6X = 0.45X girls remaining.
0.4X+8 boys remains.

0.45x + 0.4x+8 = 42.
X = 40 At beginning of year.