SOLUTION: I need to translate this problem as an equation and solve it. If Chen gives Elyse $5, they will have the same amount of money. If Elyse gives Chen $5, chen will have three times

Question 616005: I need to translate this problem as an equation and solve it.
If Chen gives Elyse $5, they will have the same amount of money. If Elyse gives Chen $5, chen will have three times as much as Elyse has. how many dollars do they have together?
Thank you
David R.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If Chen gives Elyse $5, they will have the same amount of money. If Elyse gives Chen $5, chen will have three times as much as Elyse has. how many dollars do they have together?
-------------------------
Equations:
C-5 = E+5
3(E-5) = C+5
------
Rearrange:
C - E = 10
C - 3E = -20
------
Substract and solve for "E"
2E = 30
E = 15 dollars
---
Solve for C:
C = E + 10
C = 25 dollars
------------------------
Together they have $40
============================
Cheers,
Stan H.
=======================
RELATED QUESTIONS
If Chen gives Elyse $5, they will have the same amount of money. If, instead, Elyse gives (answered by dreaaaa14)

Can you please solve this problem? Anna, Jennifer, and Mia have certain sums of money.... (answered by ankor@dixie-net.com)

If John gives Allen $5 and Allen gives Frank $2, the 3 boys will have the same amount of... (answered by edjones)

I need to show the work for the following question: A bank teller has 54 $5 and $20... (answered by richwmiller)

If shelly gives John $5, they will have the same amount of money, If John gives shelly... (answered by Theo)

If A gives B �2 they will have the same amount of money, and if B gives A �2 then A will... (answered by Edwin McCravy)

On the day after Halloween, Nina had 5 times as much candy as Taylor. If Nina gives 12... (answered by ankor@dixie-net.com)

Tim and Jeff have some money. If Jeff gives $5 to Tim, then they will have the same... (answered by ikleyn,jorel1380)

Natalie has some nickels, Dirk has some dimes, and Quincy has some quarters. I f... (answered by checkley71)