Sign Up!
Login
Welcome to Test-paper.info
Friday, November 17 2017 @ 04:58 PM CST
 Forum Index >  Test Paper Related >  Primary 6 Matters
 Henry Park P6 SA1 2011 Paper 2 Q15
   |  Printable Version
By: kyChang (offline)  Friday, May 25 2012 @ 12:55 AM CDT (Read 852 times)  
kyChang

On a weekend, the ratio of the mass of cabs sold to the mass of prawns sold was 3:2.
The ratio of the mass of lobsters sold to the mass of crabs sold was 1:5. The total amount
of money collected from the sale of 3 seafood items for the weekend was $9870.
Find the difference in mass between the sale of prawns and lobsters during the weekend.

Price of seafood item (per kilogram)
Cabs = $18
Prawns = $12.50
Lobsters = $25

Forum Junior
Junior

Registered: 10/10/10
Posts: 21

Profile Email    
   
By: echeewh (offline)  Saturday, May 26 2012 @ 08:52 PM CDT  
echeewh

Hey there,

Following pls find the worked solution,

C : P : L
3 : 2 --- (1)
5 1 --- (2)

Using Repeeated/Common Identity with C being common in these 2 ratios, C must have the same units (u) as the mass of C sold is the same.

Hence, common multiple of 5 and 3 is 15. We now have

(1)x5 and (2)x3.

C : P : L
15 : 10
15 3

Given that $9870 was collected from the sale of these 3 items, we have ...

<using Number x Value method>

(15u x 18) + (10u x 12.50) + (3u x 25) --> 9870
270u + 125u + 75u --> 9870
470u --> 9870
1u --> 21

Sale of P = 125u --> 125 x 21 = 2625
Sale of L = 75u --> 75 x 21 = 1575

Mass of P = 2625 ÷ 12.50 = 210 kg
Mass of L = 1575 ÷ 25 = 63 kg

Difference in mass ( P - L ) = 210 - 63 = 147 kg

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

Trust the above helps.

Do not hesitate to clarify if necessary.

Cheers,
Edward

Forum Active Member
Active Member

Registered: 04/21/11
Posts: 627

Profile Email    
   


 All times are CST. The time is now 04:58 pm.
Normal Topic Normal Topic
Locked Topic Locked Topic
Sticky Topic Sticky Topic
New Post New Post
Sticky Topic w/ New Post Sticky Topic w/ New Post
Locked Topic w/ New Post Locked Topic w/ New Post
View Anonymous Posts 
Able to Post 
HTML Allowed 
Censored Content