Two friends, Darren and Michael, together earn $30 more than twice what Brian earns per month. If Darren and Michael together earn $3,800, how much does Brian earn? Answer Choices

Lets assign some variables: Let

y = Darren + Michael

x = Brian.

Given:

y = 2x + 30 (Darren and Michael [y] earn [=] 30 more than[+30] twice what Brian earns[2x])

y = 3800 (Darren and Michael [y] earn [=] $3800)

Solve for x: What Brian earns.

I will solve this by substitution. Plugging in 3800 for y:

3800 = 2x + 30 subtract 30 from both sides

3770 = 2x divide by 2 on both sides

1885 = x flip the equation

x = 1885

Brian earns $1885 per month.