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Question

hi, need help for this sum

Mr Gopal donated1/6 of his money plus $12 to the red Cross society. he spent 2/3 of the remaining money and an additional $26 on a meal. he had $83 left. how much money did he have at first?

Answer

If a branch diagram helps.

Step 1:  Branch out a diagram and write down information:

                                                All money (           )

       Donate 1/6 +$12 (     )                          Remainder 5/6$12(       )

                                                        Meal 2/3 +$26 spent (     )          Left ($83)

Step 2:  Think for a “convenient” number of u (LCM of 6 and 3 is 18u)

Step 3:  Input the no. of units.,  analyse the branch diagram… and Solve

                                                All money (#1. 18u)

Donate 1/6+$12 (#2. 3u+12)                    Remainder 5/6-$12( #3. 15u-12)

                                              Meal 2/3 +$26 (#4. 10u-8+26)   Left ($83)(#5.=5u-4-26)

See #5.   83 = 5u-4-26 –> u=22.60

At first = 18u = $406.80#


Alternatively, work backwards (the 1st branch diagram above can help analyse the below too):

If the $26 is taken from the Meal and added to the Leftover money = $83+$26 = $109

$109 is 1/3 of Remainder (1 part) –> $327 is the Remainder (3 parts)

If the $12 is taken from the Donation and added to the Remainder = $327+$12 = $339

$339 is 5/6 of the Total  (5 units) –> $406.80# is the Total amount of money (6 units)

 

1 Reply 2 Likes ✔Accepted Answer

SAHM, thanks for all your examples of the branching method!  I think it works better than drawing models for many of the questions.

1 Reply 0 Likes

Thanks, as long as it helps for some who prefer this, I’d glad. Cheers.

Also this new platform is much easier to edit and format than the previous one.

I just went back to my earlier posts to copy my branch diagram and edit and viola, it’s all done! 🙂

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