## P5 Nanyang Primary SA2 Paper 2 Q16

Getting your child into that dream Primary school is just the start of a 6 year journey. Discuss issues you face with supporting your child's studies in Primary schools.
Forum rules Gentle reminder before posting questions in the Academic Support Forums: Please ensure you post your question in the correct thread. Try not to start new threads.

### P5 Nanyang Primary SA2 Paper 2 Q16

Hi all,

Can help with the model for this question?

Q16) Ali, Bala, Clyde and Dingyi shared a box of pens. Ali received 20% of the total number of pens which Bala, Clyde and Dingyi received altogether. Bala received 50% of the total number of pens which Ali, Clyde and Dingyi received altogether. Clyde received 80% of the total number of pens which Ali, Bala and Dingyi received altogether. Dingyi received 6 pens. How many pens were in the box at first?

Thanks alot.

ck123
GreenBelt

Posts: 108
Joined: Wed Jul 16, 2008 2:14 pm
Total Likes: 0

I dont know about model, but you can use ratio for this... I remember posting a solution for a similar question before. Also, why is it that so many people fall over when it comes to this kinda qn

snowman.697
BlueBelt

Posts: 407
Joined: Tue Jun 08, 2010 8:56 pm
Total Likes: 0

Hi snowman.697

Do you mind solving this question for me cause i do not have any clue?

Thanks

ck123
GreenBelt

Posts: 108
Joined: Wed Jul 16, 2008 2:14 pm
Total Likes: 0

### Re: P5 Nanyang Primary SA2 Paper 2 Q16

ck123 wrote:Hi all,

Can help with the model for this question?

Q16) Ali, Bala, Clyde and Dingyi shared a box of pens. Ali received 20% of the total number of pens which Bala, Clyde and Dingyi received altogether. Bala received 50% of the total number of pens which Ali, Clyde and Dingyi received altogether. Clyde received 80% of the total number of pens which Ali, Bala and Dingyi received altogether. Dingyi received 6 pens. How many pens were in the box at first?

Thanks alot.

A: B+C+D =1:5
B: A+C+D =1:2
C: A+B+D =4:5

The total number of units in all three ratios above shd be the same since they're referring to the same total.
So, by making the total number of units the same by using lowest common multiple which is 18, the ratios become...
A: B+C+D =1:5 = 3:15
B: A+C+D =1:2 = 6: 12
C: A+B+D =4:5 = 8: 10

Therefore, A:B:C: D = 3:6:8:1
Now, 1u=6 pens
18u=6 x 18 =108 pens in total. (answer)

WS1234567
OrangeBelt

Posts: 52
Joined: Sun Oct 03, 2010 10:58 am
Total Likes: 0