Zara and Jane collected erasers. Zara gave 30% of her erasers to Jane and as a result, Jane's erasers increased by 10%. If Zara had 63 erasers left, find the number of erasers Jane should give to Zara in the end so that both had an equal number of erasers.

	Zara	Jane	Comparing the change in Jane's erasers
Before	10x1 = 10 u		10x3 = 30u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	7x1 = 7 u		11x3 = 33 u

30% = ³⁰₁₀₀ = ³₁₀
10% = ¹⁰₁₀₀ = ¹₁₀

The increase in the number of erasers that Jane had is repeated.  Make the increase in the number of erasers that Jane had the same. LCM of 3 and 1 = 3

7 u = 63

1 u = 63 ÷ 7 = 9

Number of erasers that Jane had more than Zara in the end
= 33 u - 7 u
= 26 u

Number of erasers that Jane should give to Zara so that both had an equal number of erasers in the end
= 26 u ÷ 2
= 13 u
= 13 x 9
= 117

Answer(s): 117