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

	Hilda	Jean	Comparing the change in Jean's buttons
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 buttons that Jean had is repeated.  Make the increase in the number of buttons that Jean had the same. LCM of 3 and 1 = 3

7 u = 63

1 u = 63 ÷ 7 = 9

Number of buttons that Jean had more than Hilda in the end
= 33 u - 7 u
= 26 u

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

Answer(s): 117