**Mr Wu had some badges and decided to give them to his two sons, Sean and Matthew. Mr Wu gave 1/3 of the badges and 8 more badges to Sean. He then gave 3/4 of the remainder to Matthew but took back 2 badges. Mr Wu was left with 26 badges. How many badges did Mr Wu have at first?Solution**

Assume all badges --> 1 unit

Mr Wu was left with,

----- 1/4 of Remainder + 2

----- 1/4 x (2/3 unit - 8) + 2

= (1/6 unit - 2) + 2

= 1/6 unit - 2 + 2

= 1/6 unit

1/6 unit --> 26 badges

1 unit ----- 26 divided by 1/6

= 26 x 6

= 156

**Answer: 156 badges**

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