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By: shirley wee (offline)  Sunday, July 08 2012 @ 11:50 AM CDT (Read 1145 times)  
shirley wee

On Monday, Grandma had some yellow and purple sweets in the, she made 54more ratio 9:7. On Tuesday, she made 54 more yellow sweets. On Wednesday, she gave away 44 purple sweets and sold 129 yellow sweets. In the end, the number of yellow sweets to the number of purple sweets were in the ratio 6:5. How many yellow sweets are there in the end?

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By: echeewh (offline)  Sunday, July 08 2012 @ 11:08 PM CDT  
echeewh

Hey Shirley,

There seems to be some copying error in your question as follows:

On Monday, Grandma had some yellow and purple sweets in the, she made 54more ratio 9:7.

I take it that Grandma had some yellow and purple sweets in the ratio 9 : 7. On Tuesday, she made 54 more yellow sweets.

Do let me know pls if your actual question differs.


Following pls find my worked solution:

<Before>
Y : P
9 : 7

<Process>
+54 Y, -44 P, -129 Y
Total: -75 Y, -44 P

<After>
Y : P
6 : 5

Apply <Changed Qtys concept>, and using Cross-Multiply method, we have ...

(9u - 75) / 6 = (7u - 44) / 5
5 x (9u - 75) = 6 x (7u - 44)
45u - 375 = 42u - 264
45u - 42u --> 375 - 264
3u --> 111
1u --> 37

Y (in the end) = 9u - 75 --> (9 x 37) - 75
= 333 - 75
= 258

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

Apart from Cross-Multiply method, another alternative is to use Simultaneous method (by Parts and Units) or to use Model method ( which can be very tedious and challenging)

Trust this helps

Do let me know again if there's any clarification or if my answer is different from your Answerkey.

Cheers,
Edward

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By: MathIzzzFun (offline)  Monday, July 09 2012 @ 02:40 AM CDT  
MathIzzzFun

Quote by: shirley wee

On Monday, Grandma had some yellow and purple sweets in the, she made 54more ratio 9:7. On Tuesday, she made 54 more yellow sweets. On Wednesday, she gave away 44 purple sweets and sold 129 yellow sweets. In the end, the number of yellow sweets to the number of purple sweets were in the ratio 6:5. How many yellow sweets are there in the end?

[/QUOTE

Hi

Model approach... not complicated to do using stack/2D model.

cheers

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