PSLE
At first, Hilda had an equal number of orange and purple marbles . She gave away ³₅ of her orange marbles and some purple marbles. In the end, she was left with ²₅ of her marbles. What fraction of the purple marbles did Hilda give away?

	Orange	Purple	Total
Comparing orange marbles and purple marbles at first	1x5x1 = 5 u	1x5x1 =  5 u	2x5x1 =  10 u
Before	5x1 = 5 u	5 u	5x2 = 10 u
Change	- 3x1 = - 3 u	- 3 u	- 2x2 = - 6 u
After	2x1 = 2 u	2 u	3x2 = 4 u

After2_x1 =
2 u
2 u3_x2 =
4 u
The number of orange marbles at first is repeated. Make the number of orange marbles the first the same. LCM of 5 and 1 is 5.

The total number of marbles at first is repeated. Make the total number of marbles at first the same. LCM of 10 and 5 is 10.

Number of purple marbles that Hilda was left with
= 4 u - 2 u
= 2 u

Number of purple marbles that Hilda gave away
= 5 u - 2 u
= 3 u

Fraction of the purple marbles that Hilda gave away = ³₅

Answer(s): ³₅