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 By: acelow (offline)  Wednesday, June 26 2013 @ 08:29 AM CDT (Read 792 times)
acelow

Pls help.. Getting confused!!!

Roger had some fairy lights. He used 1/3 of the fairy lights to decorate 15 small Christmas tree and 2/5 of the fairy lights to decorate 6 big Christmas trees. He kept the rest. Each big Christmas tree had 14 more fairy lights than each small Christmas tree. How many fairy lights did Roger had at first?

Thank you!

Newbie

Registered: 05/02/09
Posts: 14

 By: echeewh (offline)  Wednesday, June 26 2013 @ 11:35 PM CDT
echeewh

Hi there,

Following is my worked solution:

Q16.

(1/3)lights = (5/15)lights = 15S
(1/15)lights = 3S
(2/5)lights = (6/15)lights = 6B
(1/15)lights = 1B
Hence, (1/15) lights are used to light up either 3S or 1B.

{Remarks: Model concept can also be used to illustrate the above}

Given that each big (B ) Christmas tree had 14 more fairy lights than each small (S) Christmas tree,
1B = 1S + 14

So ...
3S = 1B
3S = 1S + 14
2S = 14
1S = 7

Since (1/15)lights are used for 3S, we have ...
(1/15)lights = 3 × 7 = 21

Hence, number of lights at first = (15/15)lights
(15/15)lights = 15 × 21 = 315

========

Trust this helps.

Do let me know again if there's further clarification

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

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