<PRE><B>Question 922297</B>
The balances of two investments are changing at steady rates. One investment of $1450 is decreasing by $105.75 each month. The other investment of $825 is increasing by $144.25 each month. Write and solve an equation to find how many months it takes the balances of the investments to be the same. Let m represent the number of months.

 One investment of $1450 is decreasing by $105.75 each month.

B1= 1450-(105.75m)

The other investment of $825 is increasing by $144.25 each month. 
B2=825+144.25m

when will B1=B2

1450-105.75m=825+144.25m

Rearrange

1450-825=144.25m+105.75m

625=250m

m=625/250=2.5 

 Balances of the two investments will be the same at 2.5 month















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