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.

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.