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) About Me  (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: %28x%2B34%29%2Fx
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...
%28x%2B34%29%2Fx+=+5%2F3 Simplify and solve for x. Multiply both sides by x.
%28x%2B34%29+=+5x%2F3 Multiply both sides by 3.
3%28x%2B34%29+=+5x Simplify the left side.
3x%2B102+=+5x Subtract 3x from both sides.
102+=+2x Divide both sides by 2.
51+=+x or x+=+51
So the Tigers scored 51 points while the Lions scored 51+34 = 85 points.
Check:
85%2F51+=+%285%2Across%2817%29%29%2F%283%2Across%2817%29%29=5%2F3