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Smokey, Misty and Ian each have some buttons. Smokey and Misty have 59 buttons in total. Misty and Ian have 52 buttons in total. Smokey and Ian have 41 buttons in total. How many buttons do they each have?

 Apr 17, 2022
 #1
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S +  M  =  59  (1)

M + I    =   52 (2)

S + I   =   41   (3)

 

Subtract  (3)  from (1)

 

M - I    =   18     (4)      and

M + I  =    52     (2)

 

Add (4) and (2)

 

2M =  70

M  = 35

 

S + M = 59

S + 35 = 59

S = 59 - 35  =  24

 

M + I   = 52

35 + I  = 52

I  = 52  - 35   =   17

 

 

cool cool cool

 Apr 17, 2022

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