PSLE
Xuan and Gem folded paper cranes over two days. On Friday, Xuan folded 20 paper cranes more than Gem. On Saturday, Xuan folded another 29 paper cranes and Gem folded another 7. At the end of the two days, Xuan made ⁵₇ of the total number of cranes. What was the number of paper cranes that Xuan folded?

	Xuan	Gem	Difference
Before	1 u + 20	1 u	20
Change	+ 29	+ 7
After	1 u + 49	1 u + 7	42
Comparing between Xuan and Gem in the end	5 p	2 p	3 p

Difference between the number of paper cranes that Xuan and Gem folded in the end is repeated.

Difference between the number of paper cranes that Xuan and Gem folded in the end
= 5 p - 2 p
= 3 p

Difference between the number of paper cranes that Xuan and Gem folded in the end
= (1 u + 49) - (1 u + 7)
= 1 u + 49 - 1 u - 7
= 49 - 7
= 42

3 p = 42

1 p = 42 ÷ 3 = 14

Number of paper cranes that Xuan folded
= 5 p
= 5 x 14
= 70

Answer(s): 70