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13 Apr 2022, 03:15
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Sam scores a total of 720 on his two math tests. If thrice the scores of his first test was 160 more than the score of his second test, what was the score on his first test?
(A) 220
(B) 270
(C) 360
(D) 410
(E) 500
Are You Up For the Challenge: 700 Level Questions
(A) 220
(B) 270
(C) 360
(D) 410
(E) 500
Are You Up For the Challenge: 700 Level Questions
If \( x\) and \(y\) are Sam's scores in the first and second exam The question can be translated to the following equaitons.
\(x + y = 720\)
and
\(3x = 160+y\)
and these equations can easily be solved for \(x=220\)
\(x + y = 720\)
and
\(3x = 160+y\)
and these equations can easily be solved for \(x=220\)
13 Apr 2022, 06:31
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Bunuel
Sam scores a total of 720 on his two math tests. If thrice the scores of his first test was 160 more than the score of his second test, what was the score on his first test?
(A) 220
(B) 270
(C) 360
(D) 410
(E) 500
Are You Up For the Challenge: 700 Level Questions
(A) 220
(B) 270
(C) 360
(D) 410
(E) 500
Are You Up For the Challenge: 700 Level Questions
We can solve the question using either one variable or two variables.
Here is a 1-variable solution:
Let x = the score on the first test
So, 3x = (score on the second test) + 160, since "thrice the score of his first test was 160 more than the score of his second test"
In other words: 3x - 160 = score on the second test
Since the sum of the two scores is 720, we can write: x + (3x - 160) = 720
Simplify: 4x - 160 = 720
Blam: : 4x = 880
Kapow: x = 220
Answer: A
