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The ratio of the number of cookies baked by Linus to Omar is 8 : 7. After Linus gave away 36 cookies, Omar had twice as many cookies as Linus. How many cookies did they bake altogether?

 Jun 7, 2021

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 #1
avatar+179 
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Linus baked 64 cookies, and Omar baked 56 cookies.  Together, they baked 64+56 cookies, or 120 altogether.

 Jun 7, 2021
 #2
avatar+129847 
+2

L / O =   8 / 7

L =  (8/7)O

 

O                            2

_______   =       ____               cross-multiply

L - 36                    1

 

 

2 ( L - 36)  =  O

 

2L  -  72   =  O                   divide through by 2

 

2 (8/7)O  - 72  =  0

 

(16/7)O  - (7/7)O  =  72

 

(9/7)O  =   72

 

O  = (72)(7/9)  =  56

 

L = (8/7) (56)   =   64

 

56 +  64    =   120

 

cool cool cool

 Jun 7, 2021

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