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 By: Tping (offline)  Sunday, August 25 2013 @ 09:50 AM CDT (Read 742 times)
Tping

1)
Ali and Deepan shared a carton of blue markers and green markers equalty.
Ali took three times as many blue markers as Deepan.
The ration of the numer of green markers Deepan took to the number of the green markers Ali took was 9:5.
What was the ratio of the numer of blue markers Ali took to the numer of green markers Ali took?
Ans: 6:5

2)
At first, Paul had some milk.
Each day, he drank an equal amout of milk.
At the end of the 6th day, 3/8 of his milk was left.
At the end of the 9th day, he had 0.92 litre of milk left.
How many litres of milk did Paul have at first?
Ans: 14.72 litres

Junior

Registered: 01/26/12
Posts: 25

 By: echeewh (offline)  Sunday, August 25 2013 @ 01:00 PM CDT
echeewh

Hi <Tping>

Following are my worked solutions :

Q1.

<Blue B>

AB : DB
3 : 1 -- (1)

<Green G>

AG : DG
5 : 9 -- (2)

Given that A, D shared the B,G markers equally, the number of markers A had is same as D. So we have ...

3p + 5u = 1p + 9u
3p - 1p = 9u - 5u
2p = 4u
1p = 2u -- (3)

Substitute (3) in (1):

AB : DB
6 : 2

Hence,

AB : AG
6 : 5

=========

Q2.

d1 to d6 = (5/8)total
d7 + d8 + d9 + 0.92 = (3/8)total

Given that he drank an equal amount of milk (1u) each day, we have ...

6u = (5/8)total -- (1)
3u + 0.92 = (3/8)total -- (2)

Multiply (2) 2x :
6u + 1.84 = (6/8)total
6u = (6/8)total - 1.84 -- (3)

(1) = (3)
(5/8)total = (6/8)total - 1.84
(6/8)total - (5/8)total = 1.84
(1/8)total = 1.84
Total (at first) = 8 × 1.84 = 14.72 litres

==========

Trust this helps.

Do let me know again if there's further clarifications.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

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