LEARN Denzel gives of his pretzel sticks to Jane and of his pretzel sticks to Hannah. He has 55 pretzel sticks left. How many pretzel sticks did he have before he gave any away? 56 pretzel sticks 90 pretzel sticks 136 pretzel sticks 144 pretzel sticks

90 pretzel sticks.

Step-by-step explanation:

Denzel had 90 pretzel sticks before he gave any away.

Step-by-step explanation:

1) He gives away 2/9 to Jane (He's got 7/9 pretzel sticks left after Jane).

2) The remaining pretzel sticks are broken into 6 portions. He gives away 1/6 to Hannah. Now he's got 5/6 pretzel sticks remaining. We are told that these 5 parts are worth 55 pretzel sticks.

3) 55 pretzel sticks divided into 5 equal parts is 11 pretzel sticks in each.

4) 2/9 + 1/6 pretzel sticks given away needs common denominators to add

4/18 +3/8 = 7/18 pretzel sticks given away in total

That means 11/18 pretzel sticks remained that he did not give away.  We are told the 11/18 represents his remaining 55 pretzel sticks.

5) Since we have now divided the whole lot of pretzel sticks into 18 pieces we have 7/18 given away plus 11/18 (55 remain), and we calculated each part is 5 pretzel sticks.

6) 5 x 18 parts = 90 pretzel sticks to begin with.

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