I need some help with this word problem. I don't know what I'm supposed to do...

Brian and James worked at a part-time job for a week. Together they earned an amount that was less than $620. Brian earned 1/3 the amount that James earned. Which statement describes all amounts of money that James could possibly have earned?

A.
Less than $155

B.
Less than $465

C.
More than $465

D.
More than $207

Question

I need some help with this word problem. I don't know what I'm supposed to do...

Brian and James worked at a part-time job for a week. Together they earned an amount that was less than $620. Brian earned  1/3 the amount that James earned. Which statement describes all amounts of money that James could possibly have earned?

A.
Less than $155
	
B.
Less than $465
	
C.
More than $465
	
D.
More than $207

anonymous · Answer

Let James' earnings be x. Then Brian's is x/3.
Together,
x + x/3 < 620
(4/3)x < 620
x < 465

James could have earned any amount of money less than 465 dollars. B.