Thursday, September 9, 2010

Percentage P6 2010 SA2 Red Swastika P2 Q16

Kylie and Leonard have $4576 altogether. 1/8 of Leonard’s money is $38 more than 25% of Kylie’s money. (a) How much does Kylie have? (b) What fraction of Leonard’s money is Kylie’s money? (Express your answer in its simplest form.) [5 marks][Answer given: $1424, 89/197]


4 K + 8 L --> $4576

1 L --> K + $38
8 L --> 8 K + 8 x 38 = 8 K + 304

4 K + 8 K --> 4576 - 304
12 K --> 4272
4 K --> 4/12 x 4272 = $1424

a) It is $1424.


8 L --> 4576 - 1424 = $3152

1424/3152 = 89/197

b) It was 89/197.

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