During his tennis career in singles play, John won 3 fewer tournament A titles than tournament B titles, and 2 more tournament C titles than tournament B titles. If he won 17 of these titles total, how many times did he win each one?
How many A titles
How many B titles
How many C titles

See Answers (1)

Accepted Answer

ok use why they told you.17=A+B+C & A=B-3 &C=2+Bwe only what to work with one variable at a time. lucky for us we have an idea of what "A" & "C" are. we can plug those into our first equation respectively. SOLVE FOR B17= (B-3)+B+(2+B)17=B-3+B+2+B17=3B-117+1=3B18=3B18/3=B6=B  (this means he won 6 B titles)SOLVE FOR AA=B-3A=6-3A=3SOLVE FOR CC=2+BC=2+6C=8CHECK17=A+B+C17=3+6+817=17