SOLUTION: Alexander says , if Joshua gives me $45, he will have half as much as Zachary . But if Zachary gives me $45 then three of us will have the same amount . What is the total amount of

Question 1176928: Alexander says , if Joshua gives me $45, he will have half as much as Zachary . But if Zachary gives me $45 then three of us will have the same amount . What is the total amount of money that Alexander , Joshua and Zachary have among themselves .
Choices are 405 , 450 , 315, 360. Answer is 405$ .
Kindly help solve this question . Thankyou .
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Alexander says, if Joshua gives me $45, he will have half as much as Zachary
j - 45 = z
z = 2(j-45)
z = 2j - 90
But if Zachary gives me $45 then three of us will have the same amount.
z - 45 = j
replace z with (2j-90)
(2j-90) - 45 = j
2j - 135 = j
2j - j = 135
j = $135 Josh's amt
find z
z = 2(135) - 90
z = 270 - 90
z = $180 Zack's amt
What is the total amount of money that Alexander, Joshua and Zachary have among themselves.
Alexander's amt is also $135 after receiving 45 from Zack so he must have had $90 originally
135 + 180 + 90 = $405 is the total amt (3*135=405 also)
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