³₄ of Neave's savings comprised of 5-cent coins and 50-cent coins. Neave used some 5-cent coins to purchase a kitchen set. The number of 50-cent coins left was 40% more than the number of 5-cent coins left. Given that Neave had 30 more 50-cent coins than 5-cent coins left in the end, find the amount of money Neave spent on the kitchen set.

	5-cent coins	50-cent coins
Before	3x7 = 21 u	1x7 = 7 u
Change	- 16 u
After	5x1 = 5 u	7x1 = 7 u

Fraction of Neave's savings that comprised of 50-cent coins
= 1 - ³₄
= ¹₄

Number of 50-cents coins in the end in percentage
= 100% + 40%
= 140%

140% = ¹⁴⁰₁₀₀ = ⁷₅

Number of 50-cent coins remains unchanged. Make the number of 50-cent coins the same.  LCM of 1 and 7 is 7.

Number of more 50-cent coins than 5-cent coins
= 7 u - 5 u
= 2 u

2 u = 30

1 u = 30 ÷ 2 = 15

Number of 5-cent coins spent on the kitchen set 
= 21 u - 5 u
= 16 u
= 16 x 15
= 240

Amount that Neave spent on the kitchen set 
= 240 x 0.05
= $12

Answer(s): $12