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 By: Tping (offline)  Wednesday, September 05 2012 @ 08:03 PM CDT (Read 737 times)
Tping

1)
Mrs Tan spent 3/5 of her money on 25 cakes and 45 buns for a party.
The cost of 1 bun was 1/3 that of a cake.
How many more buns could she buy with the rest of her money?

2)
An insurance agent's monthly income was increased by 1/5 in March from February.
His income decreased by 30% in April from March.
As a result, his income in April was \$1200 less than in February.
What was his income in March?

3)
Henry poured a 2.5 litre bottle of syrup into a rectangular container with a height of 30cm.
The syrup filled up 1/6 of the container.
What is the base area of the container?

Junior

Registered: 01/26/12
Posts: 25

 By: echeewh (offline)  Saturday, October 13 2012 @ 10:15 PM CDT
echeewh

Hey Tping..

Following pls find my worked solutions:

Q1

Cost:
B = (1/3)C
C = 3B

25C + 45B = (3/5) total
(25 x 3B ) + 45B = (3/5) total
75B + 45B = (3/5) total
120B = (3/5) total
Total = 120B x (5/3) = 200B
Rest of money = (2/5) total
Number of buns = (2/5) x 200 = 80 buns

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

Q2

F : M
1 : (6/5)
5 : 6

100% --> 6u
70% --> (6/100) x 70 = (42/10) = (21/5)

M : A
6 : (21/5)
30 : 21

Combining all 3 months ...

F : M : A
5 : 6
30 : 21

Apply <Repeated Identity> concept, multiply 1st ratio (F:M) 5x.

F : M : A
25 : 30 : 21

Given that A's income was \$1200 less than F, we have ..

F - A = 1200
25u - 21u --> 1200
4u --> 1200
1u --> 300

Income in M = 30u --> 30 x 300 = \$9000

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

Q3

Ht of syrup level = (1/6) x 30 = 5 cm
Vol = Area x Ht
2500 = Area x 5
Base area of container = 2500 รท 5 = 500 cm2

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

Trust the above helps.

Do let me know again if these do not match your Answerkey or if there's further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 625

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