PSLE
At first, Kylie had an equal number of pink and black marbles . She gave away ³₅ of her pink marbles and some black marbles. In the end, she was left with ¹₄ of her marbles. What fraction of the black marbles did Kylie give away?

	Pink	Black	Total
Comparing pink marbles and black marbles at first	1x5x2 = 10 u	1x5x2 =  10 u	2x5x2 =  20 u
Before	5x2 = 10 u	10 u	4x5 = 20 u
Change	- 3x2 = - 6 u	- 9 u	- 1x5 = - 15 u
After	2x2 = 4 u	1 u	3x5 = 5 u

After2_x2 =
4 u
1 u3_x5 =
5 u
The number of pink marbles at first is repeated. Make the number of pink 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 4 is 20.

Number of black marbles that Kylie was left with
= 5 u - 4 u
= 1 u

Number of black marbles that Kylie gave away
= 10 u - 1 u
= 9 u

Fraction of the black marbles that Kylie gave away = ⁹₁₀

Answer(s): ⁹₁₀