The sum of Andre and Brandons scores on a math quiz is 180. Andres score is 2 times as much as 30 less than Brandons score. Find each students quiz score.

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02-11-2015
Mathematics

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The sum of Andre and Brandons scores on a math quiz is 180. Andres score is 2 times as much as 30 less than Brandons score. Find each students quiz score.

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W0lf93 W0lf93 · Answer 1 · 2017-08-29T00:06:21+02:00

Let's call Andre's score A, and Brandon's score B, and create two equations from the two sentences:
A + B = 180
2A = B - 30

Add the two equations together:
A + B + 2A = 180 + B - 30
Simplify:
3A + B = 150 + B
Subtract B from each side of equation to solve for A:
3A = 150, so A = 150/3 = 50. Now we know that Andre's score is 50.

What is Brandon's score (B)? Let's go back to our initial equation: A + B = 180 and plug in 50 for A. 50 + B = 180. Subtract 50 from each side to see that B = 130. So Brandon's score is 130 and Andre's is 50.