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 much, she would have exactly
3 times as much as Anne. How much
money have they saved together?
(  Choices:
A) $300
B) $400
C) $450
D) $625
E) $750
If Anne had $150 less, Katherine would have three times more than Anne. Make this   statement into an equation and simplify:   3(a – 150) = k   3a – 450 = k   And if Katherine had twice as much, she would have three times more than Anne:   2k = 3a   Substitute 3a – 450 for k into the last equation and solve for a   2(3a – 450) = 3a   6a – 900 = 3a   –900 = –3a   300 = a   Now substitute 300 for a into the same equation and solve for k:   2k = 3(300)   2k = 900   k = 450   Thus, together Anne and Katherine have  300 + 450= 
<gadget id="calculator"> 300 + 450</gadget>
<output>750</output>
750   correct answer $750)$750
<result>E</result>
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 much, she would have exactly
3 times as much as Anne. How much
money have they saved together?
(