Problema Solution

person scored 36 points on 22 shots in a game. he shot only two pointers or 1 point. how many of each type of shot did he make

Answer provided by our tutors

X+Y=22 OR X=22-Y NUMBER OF SHOTS TAKEN.

2X+Y=36 POINTS SCORED.

REPLACE X WITH (22-Y) & SOLVE FOR Y.

2(22-Y)+Y=36

44-2Y+Y=36

-Y=36-44

 

-Y=-8

Y=8 FOUL SHOTS WERE MADE.

X=22-8=14 TWO-POINTERS WERE MADE.

PROOF:

2*14+8=36

28+8=36

36=36