SOLUTION: In a basketball championship game, the Tamaraws scored 42 points more than the Blue Eagles. a. If the blue eagles scored x points, express the score of tamaraws in terms of x.

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Question 1180318: In a basketball championship game, the Tamaraws scored 42 points more than the Blue Eagles.
a. If the blue eagles scored x points, express the score of tamaraws in terms of x.
b. However, if the blue eagles doubled their efforts, that means, if the Blue eagles scored twice while the tamaraws had the same performance, they would have scored one point more than the Tamaraws. Considering both situations in (a) and (b), give the actual scores of both teams.

Found 3 solutions by mananth, greenestamps, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
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the Tamaraws scored 42 points more than the Blue Eagles.
a. If the blue eagles scored x points, tamaraws scored x+42
b. However, if the blue eagles doubled their efforts,(2x)
had the same performance, they would have scored one point more than the Tamaraws.
2x+1= x+42
x=41
blue eagles scored 41 points
Tamaraws scored 83 points

Considering both situations in (a) and (b), give the actual scores of both teams.

Answer by greenestamps(13216) About Me  (Show Source):
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Another wrong answer from tutor @mananth, which she could have seen if she took 3 seconds to check her answer.

x = blue eagles points
x+42 = tamaraws points

2x=(x+42)+1 (NOT 2x+1=x+42. blue eagles scoring twice as many points as they did would make their score 1 MORE than the tamaraws)
2x=x+43
x=43

Actual scores:
eagles x=43
tamaraws x+42=85

CHECK: 2(43)=86 is 1 more than 85


Answer by josgarithmetic(39631) About Me  (Show Source):
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t, Tamaraws
b, Blue eagles
t-b=42

----------------------------------------------------
a. If the blue eagles scored x points, express the score of tamaraws in terms of,...
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t, Tamaraws
x, Blue eagles
t-x=42
t=highlight%28x%2B42%29

---------------------------------------------------
..., if the Blue eagles scored twice while the tamaraws had the same performance, they would have scored one point more than the Tamaraws.
---------------------------------------------------

2x-%28x%2B42%29=1
-
2x-x-42=1
highlight%28x=43%29


Back to original description, t-x=42
t=x%2B42
t=43%2B42
highlight%28t=85%29