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Thursday, September 21 2017 @ 06:02 PM CDT
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By: achieve_goal (offline)  Sunday, June 23 2013 @ 04:39 AM CDT (Read 728 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
all the trading cards. Ethan received 48 fewer trading cards than Donavan. Freedy received twice
as many trading cards as Ethan and Gilbert received the remaining 432 trading cards.

a) Find the total number of trading cards shared by the 4 boys.
b)If Donavan was given additional trading cards, he would have a total of 487 trading cards.
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?

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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

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

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

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