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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 youThis 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
Answer by Earlsdon(3748) 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: (x+34)/x
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...
(x+34)/x = 5/3 Simplify and solve for x. Multiply both sides by x.
(x+34) = 5x/3 Multiply both sides by 3.
3(x+34) = 5x Simplify the left side.
3x+102 = 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:
85/51 = (5*cross(17))/(3*cross(17))=5/3