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 By: achieve_goal (offline)  Sunday, June 23 2013 @ 04:39 AM CDT (Read 770 times)
achieve_goal

Q1. Winifred can clean 1/6 of a room in 2 hours. Louisa can clean 1/3 of the same room in 1/2
an hour. If the 2 girls work together, how long will they take to clean the room?

Q2. Donovan, Ethan, Freddy and Gilbert shared some trading cards. Donavan received 20% of

a) Find the total number of trading cards shared by the 4 boys.
Find the percentage increase in the number of trading cards Donavan has.

Q3. A shopkeeper had some markers in red and blue. If 50 red markers and 25 blue markers were
sold each week, there would be 500 red markers left when all the blue markers were sold. If 25 red markers and 50 blue markers were sold each week, there would be 800 red markers left when all
the blue markers were sold. How many markers did the shopkeeper have at first?

Regular Member

Registered: 09/14/11
Posts: 102

 By: echeewh (offline)  Sunday, June 23 2013 @ 11:09 PM CDT
echeewh

hey there,

Kindly refer to my worked solutions below:

Q1.

W cleans (1/12)room in 1 hour.
L cleans (2/3)room in 1 hour.

W + L:
Clean [(1/12) + (2/3)]room in 1 hour
= (9/12) = (3/4)room in 1 hour

Whole room = (4/4)room = 1 ÷ (3/4)
= (4/3) = 1 1/3 hours

=======

Q2.

D |------<48>| --> (1/5)total
E |------|
F |------|------|
G |<----- 432 ----->|

1u + 48 = (1/5)total {D's trading cards}
(4/5)total = 4u + 192

But ...
(4/5)total = 3u + 432 {sum of E,F,G trading cards}

So ...
4u + 192 = 3u + 432
4u - 3u = 432 - 192
1u --> 240

(a)
Total number of trading cards (D+E+F+G) = 4u + 48 + 432
4u + 480 --> (4 × 240) + 480 = 1440

(b)

Given that D had 487 cards in the end,
increase in D's cards = 487 - 48 - 1u
487 - 48 - 1u --> 487 - 48 - 240 = 199
% increase = (199 / 288) × 100 = 69 7/72%

=========

Q3.

Remarks:
You posted this same question on Jun 13 and a solution was provided on the same day. Kindly refer to "MATHS" on page4 (as at 24/6)

==========

Trust this helps..

Do let me know again if this is different from your <Answerkey> or if there's further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 By: achieve_goal (offline)  Monday, June 24 2013 @ 10:04 PM CDT
achieve_goal

Thank you and sorry for the disturbance. (The same question being repeated...I checked it out already)

Regular Member

Registered: 09/14/11
Posts: 102

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