Anne and Katherine are both saving money from their summer jobs to buy bicycles. If Anne had $150 less, she would have exactly 1 / 3 as much as Katherine. And if Katherine had twice as munch, she would 3 times as much as Anne. How much money have they saved together?

Question

Anne and Katherine are both saving money from their summer jobs to buy bicycles. If Anne had $150 less, she would have exactly 1 / 3 as much as Katherine. And if Katherine had twice as munch, she would 3 times as much as Anne. How much money have they saved together?
A. $300
B. $400
C. $450
D. $625
E. $750

Anonymous · Answer

Let x = Anne's money y = Katherine's money ---------------------------------------- Anne = x - 150 = (1/3)y Katherine = [2y = 3x]