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Ann, Benjamin and Candy have 344 ice-cream sticks.
Ann has 4 times as many ice-cream sticks as Benjamin.
Candy has 182 ice-cream sticks more than Ann.
How many ice-cream sticks does Ann have?

 Feb 12, 2022
 #1
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We have this system of equations :

 

A  +   B  + C  =   344            (1)

A /4   =  B                             (2)                       

C = A + 182                          (3)

 

Subbing (2)  and (3)  into  (1), we have

 

A +   A/4  + A + 182  =  344      subtract  182 fro each side and simplify the rest

 

(4/4) A   + A /4  +   (4/4) A   =  162

 

(9/4)A  = 162                 multiply both sides by 4/9

 

A =  72

 

 

cool cool cool

 Feb 12, 2022

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