SOLUTION: The number of paper cranes that Thomas has is 8 times that of Raymond. If Thomas gives 28 paper cranes to Raymond, they will have the same number of paper cranes. How many paper cr

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Question 1054037: The number of paper cranes that Thomas has is 8 times that of Raymond. If Thomas gives 28 paper cranes to Raymond, they will have the same number of paper cranes. How many paper cranes do they have altogether?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Want to know how to make a paper crane?  Go here:

https://www.youtube.com/watch?v=pqeI94Jri1M

The number of paper cranes that Thomas has is 8 times that of Raymond.
So

T = 8R

If Thomas gives 28 paper cranes to Raymond,
then Thomas will have T-28 paper cranes, 
and Raymond will have R+28

they will have the same number of paper cranes.
So T-28 = R+28

That gives us this system of two equations in
two unknowns:



Solve that by substituting 8R from the first equation
for T in the second equation:

8R-28 = R+28
   7R = 56
    R = 8

The substitute 8 for R in T=8R

T = 8(8)
T = 64

Let's check that so far:
The number of paper cranes that Thomas has, which is 64,
is 8 times that of Raymond, which is 8. 

If Thomas gives 28 paper cranes to Raymond, then Thomas
will have only 64-28 or 36, and Raymond will have 8+28 or 36,
so they will have the same number of paper cranes. 

So it is correct.  But the question is:

How many paper cranes do they have altogether?
They have 8+64 or 72 paper cranes altogether.

Edwin

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