SOLUTION: Please help. #47. Basketball blowout. As the final buzzer signaled the end of the basketball game, the Lions were 34 points ahead of the Tigers. If the Lions scored 5 points for e
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Question 155056This question is from textbook elementary and intermediate algebra
: Please help. #47. Basketball blowout. As the final buzzer signaled the end of the basketball game, the Lions were 34 points ahead of the Tigers. If the Lions scored 5 points for every 3 scored by the Tigers, then what was the final score? Thank you
This question is from textbook elementary and intermediate algebra
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let x = the Tiger's score, then the Lions score can be expressed as: x+34 and the two team's scores can be expressed as a ratio:
Since the Lions scored 5 points for every 3 points by the Tigers, you can express this as a ratio of 5 to 3 or 5/3, so you can write the proportion...
Simplify and solve for x. Multiply both sides by x.
Multiply both sides by 3.
Simplify the left side.
Subtract 3x from both sides.
Divide both sides by 2.
or
So the Tigers scored 51 points while the Lions scored 51+34 = 85 points.
Check:
=
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