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                                    Red                            Orange                     Total

At first,                    0.45u                             0.55u                            u

                                    +75                                                                  +75

In the end,           0.45u+75                        055u                           u+75

Given in the end, red pins is 56% of new total,

0.45u + 75   = 0.56(u+75)

0.56u – 0.45u =  75 -42

0.11u = 33

u = 300

Red pins in the end  = 0.45 x 300 + 75 = 210

Hence she has 210 red pins in the end.

Please click on “Accept Answer” if it is correct.

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