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?

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?

SAHMom

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)

ChiefKiasu

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

SAHMom

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! 🙂