There were 5 more members in the Drama Club than in the Chess Club. There were 34 girls in the Drama Club and 21 girls in the Chess Club. The number of boys in the Drama Club was 5/7 the number of boys in the Chess Club,
(a) How many members were there in Drama Club?
(b) Find the number of members in the Chess Club as a percentage of the total number of members in both clubs. Round your answer to the nearest tenth.
If there were gd girls and bd boys in drama,
and gc girls and bc boys in chess, then
bd+gd = bc+gc + 5
gd = 34
gc = 21
bd = 5/7 bc
so,
bd+34 = bc+26
5/7 bc + 34 = bc+36
---------
bc = 7
bd = 5
(a) bd+gc = 5+34 = 39
(bc+gc)/(bc+gc+bd+gd) = 28/67 ≈ 41.79%