Did I solve this word problem correctly?
In last week’s basketball game, the Lions scored 6 less than twice what the Bobcats scored. The sum of their scores is 30. How many points did the Lions and the Bobcats score individually?
2x+2x-6=30
2x+2x=36
4x=36
4x/4=36/4
x=9
Lions= 2x-6
2(9)-6
18-6
The Lions scored 12 points.
Bobcats=2x
2(9)
The Bobcats scored 18 points.
2 answers
correct
Let the lion's score be X
Let the Bobcats score be Y.
Twice the bobcats score be 2Y.
The lion's score X =2Y-6 .........(1)
X+Y=30.....(2).
put equation (1) in equation (2).
2Y-6+Y =30........(3).
Collect like terms
2Y+Y =30+6
3Y=36
Divide both sides by 3
3Y/3=36/3
Y =12point
Recall equation (1).
X=2(12)-6 =24-6=18points .
The lion's score=18points
The bobcats score =12 points .
Let the Bobcats score be Y.
Twice the bobcats score be 2Y.
The lion's score X =2Y-6 .........(1)
X+Y=30.....(2).
put equation (1) in equation (2).
2Y-6+Y =30........(3).
Collect like terms
2Y+Y =30+6
3Y=36
Divide both sides by 3
3Y/3=36/3
Y =12point
Recall equation (1).
X=2(12)-6 =24-6=18points .
The lion's score=18points
The bobcats score =12 points .
1 answer