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Ian has 1/3 as many marbles as Velibor. If Velibor gives 63 marbles to Ian, both of them will have an equal number of marbles. How many marbles must Velibor give to Ian, so that Ian will have 3/4 as many marbles as Velibor?

 Jul 30, 2022
 #1
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Let Ian have M  marbles

Then Velibor  has  3M  marbles

 

When Velibor  gives 63  to Ian  they both have the same number....so....

 

3M   - 63  =  M + 63

 

3M - M  =  63 +63

 

2M =  126

 

M =  126 /  2    =  63

 

So Veilbor  started with  189   and  Ian started with  63

 

So

 

(3/4) (189  -  x  ) =   63 +  x     

Where x is the number that Ian gives to Veilbor so that Veilbor has (3/4) as many as Ian

 

Simplify

 

(3/4) 189  - (3/4)x =  63 + x

 

(3/4)189 - 63   =  x + (3/4)x

 

315 / 4 =  (7/4)x

 

315  =  7x

 

x =  315 / 7   =     45    

 

 

cool cool cool

 Jul 30, 2022

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