PSLE
Hazel and Sarah folded paper stars over two days. On Saturday, Hazel folded 15 paper stars more than Sarah. On Sunday, Hazel folded another 27 paper stars and Sarah folded another 20. At the end of the two days, Hazel made ⁵₈ of the total number of stars. What was the number of paper stars that Hazel folded?

	Hazel	Sarah	Difference
Before	1 u + 15	1 u	15
Change	+ 27	+ 20
After	1 u + 42	1 u + 20	22
Comparing between Hazel and Sarah in the end	5 p	3 p	2 p

Difference between the number of paper stars that Hazel and Sarah folded in the end is repeated.

Difference between the number of paper stars that Hazel and Sarah folded in the end
= 5 p - 3 p
= 2 p

Difference between the number of paper stars that Hazel and Sarah folded in the end
= (1 u + 42) - (1 u + 20)
= 1 u + 42 - 1 u - 20
= 42 - 20
= 22

2 p = 22

1 p = 22 ÷ 2 = 11

Number of paper stars that Hazel folded
= 5 p
= 5 x 11
= 55

Answer(s): 55