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2/9 of the cookies in a box were chocolate chip. There were 46 more hazelnut cookies than chocolate chip cookies in the box. The remaining 94 cookies were mixed nuts cookies. How many hazelnut cookies were in the box?

 Jan 17, 2022
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Let the total number of cookies in the box==C

 

2/9C ==chocolate chip.

 

2/9C + 46 ==hazelnut cookies.

 

C - 2/9C - [2/9C + 46] ==94, solve for C

 

C==252 cookies in the box.

 

252  x  2/9 ==56 cookies were chocolate cookies.

 

56  +  46 ==102 cookies were hazelnut.

 

252 - 56 - 102 ==94 were mixed nuts cookies.

 Jan 17, 2022

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