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 P5 Rosyth CA2 math test paper
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By: ivylyelaykian (offline)  Monday, September 03 2012 @ 03:18 AM CDT (Read 708 times)  
ivylyelaykian

Q22 : Tina and Pat shared some cupcakes in the ratio of 4:7. Then Tina gave 2/3 of her cupcakes to Pat. What is tne new ratio of the number of Tina's cupcakes to the number of Pat's cupcakes?

Idea

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By: echeewh (offline)  Monday, September 03 2012 @ 05:45 AM CDT  
echeewh

Hey Ivy,

Following pls find my worked solution:

<Before>
T : P
4 : 7

<Process>
T gave 2/3 of her cupcakes to P; thereby (1/3) of T's cupcakes remain.
T left: (1/3)x4u = (4/3)u
P left: 7u + [(2/3)x4u] = 7u + (8/3)u = (29/3)u

<After>
T : P
4 : 29

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

You can also derive the same answer using the standard Model method, in which you multiply the <Before> ratio / model by 3 times.
Then calculate the number of units given by T to P (i.e. (2/3) of 12u = 8u).
Hence, T would be left with (12u - 8u) = 4u ; while P would be increased to (21u + 8u) = 29u.
Ratio T : P (after) = 4 : 29

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

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

Cheers,
Edward

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