A chess team has 26 members. However, only 16 members attended the last meeting: half of the girls attended but all of the boys attended. How many boys are on the chess team?
We can set up this system
B + G = 26 (1)
B + (1/2)G = 16 ⇒ -2B - G = -32 (2)
Add (1) and (2) and we have
-B = -6
B = 6