Question

Micah received a total score of 1280 on his SAT. His math score was 200 points more than twice his verbal score. What was his math score?

Answer 1

math score: 920 points

Step-by-step explanation:

Let's use the variable x to represent the math score and y to represent the verbal score.

The sum of scores is 1280, so we have:

`x+y=1280`

The math score is 200 points more than twice the verbal score, so:

`x=2y+200`

Using this value of x from the second equation in the first one, we have:

`\begin{gathered} (2y+200)+y=1280 \\ 3y+200=1280 \\ 3y=1280-200 \\ 3y=1080 \\ y=(1080)/(3) \\ y=360 \\ \\ x+y=1280 \\ x+360=1280 \\ x=920 \end{gathered}`

Therefore his math score is 920 points.