Question

A. The sum of Andre and Brandon scores on a math quiz is 180. Andres score is 2 times more than 30 less than Brandon score. Find each students quiz score.

B. Solve the inequalities.
100x-200>50x-75

Answer 1

a)

a+b=180 and a=2(b-30) using this in the first equation gives you:

2(b-30)+b=180

2b-60+b=180

3b-60=180

3b=240

b=80 so a=100

Andre's score was 100 and Brandon's score was 80.

b)

100x-200>50x-75 subtract 50x from both sides

50x-200>-75 add 200 to both sides

50x>125 divide both sides by 50

x>2.5