The average number of points a basketball team scored for three games was 63 points. In the first two games they scored the same number of points which was 6 points more than they scored in the third game. Write and solve an equation to find the number of points the team scored in each game.
2 answers:
Answer:
65 , 65 , 59
Step-by-step explanation:
The average number of points scored for three games was 63 points.
suppose ,
(x+y+z)/3=63.......(1)
First two games they scored the same number of points
so, x=y........(2)
which was 6 points more than they scored in the third game
so, x=6+z........(3)
FROM equation (1)=>
(x+y+z)/3=63
=>(x+x+z)/3=63 [as, x=y]
=>[2x+z] /3 =63
=>[2(6+z)+z] / 3= 63 [as, x=6+z ]
=>(12+2z+z) = 63 . 3 [multiplied by 3 on both side]
=>12+3z =189
=>3z=189-12
=>3z=177
=>z=59
then,
x=6+z [FROM equation (3)]
x=6+59 [as, z=59]
x=65
then,
x=y [FROM equation (2)]
y=65 [as, x=65]
Answer:
3rd game: 59 The other 2 games 65 each
Step-by-step explanation:
(x+6)+(x+6)+x:3=63
Multiply all by 3
3x+12=189
3x= 177
x=59 (3rd=59 The other 2 65 each
59+65+65=189
189/3=63
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