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By: JessicaTan (offline)  Wednesday, September 05 2012 @ 09:49 AM CDT (Read 866 times)  
JessicaTan

Hi, kindly help with working solution.

9) Ravish spent 0.8 of her savings for a holiday with her family? She had $750 left after depositing 0.7 of her remaining savings into her bank account. How much money did she spend for the holiday? (ans : $10000)


13) 50% of the capacity of Jug A is equal to 1 3/4 of the capacity of Jug B.
(a) Find the capacity of Jug B as a fraction of the capacity of Jug A. Express your answer in the simplest form.
(ans : 2/7)
(b) If Jug B can store 500ml of liquid, what is the maximum amount of liquid that Jug A can hold? express your answer in liters. (ans : 1.75 liters)


14) the ratio of the number of visitors in exhibition Hall A to the number of visitors in exhibition Hall B was 1 : 4. The number of visitors in exhibition Hall B was 60% of exhibition Hall C. If exhibition Hall A has 450 visitors, find the number of visitors
In exhibition Hall C. (ans : 3000)

Thanks .

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Registered: 10/17/09
Posts: 82

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By: echeewh (offline)  Thursday, October 04 2012 @ 09:19 PM CDT  
echeewh

Hey Jessica.

Following pls find my worked solutions:

Q9

Spent - 0.8; Remain - 0.2
Deposit - 0.7 of <Remain>; Left - 0.3 of <Remain>
Left - 0.3 of <Remain> = 0.3 x 0.2 = 0.06
0.06 --> 750
Spent (holidays) = 0.8 --> (750 / 0.06) x 0.8
= $10000

============================

Q13

(a)
Apply <Equal concept>, we have ...

(1/2) A = (7/4) B

Make numerator of both fractions to be the same by multiplying the left fraction 7x.

(7/14) A = (7/4) B

Denominator shows the initial / original number of units the respective jugs have.

A = 14u ; B = 4u

(B/A) = (4/14) = (2/7)

(b)
4u --> 500
A = 14u --> (500/4) x 14 = 1750 ml = 1.75 lit

============================

Q14

A : B
1 : 4

B = 60% of C = (6/10) C = (3/5) C

A : B : C
1 : 4 -- (1)
3 : 5 -- (2)

Apply <Repeated Identity concept>, multiply (1)x3; (2)x4

A : B : C
3 : 12
12 : 20

A = 3u --> 450
1u --> 150

C = 20u --> 20 x 150 = 3000

==============================

Trust these helps.

Do let me know again if there are any clarifications.

Cheers,
Edward

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Registered: 04/21/11
Posts: 623

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