Victoria has 25% as many buttons as Anna. Anna has 130% as many buttons as Jane. If Anna gives 42 buttons to Jane, both will then have an equal number of buttons. Find the average number of buttons the three of them have.

Victoria	Anna	Jane
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

The number of buttons that Victoria has is repeated.  Make the number of buttons that Victoria has the same. LCM of 4 and 13 is 52.

	Anna	Jane	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of buttons that Anna and Jane have
= 52 u + 40 u
= 92 u

After Anna gives to Jane, both of them will have the same number of buttons. 

The total number of buttons that Anna and Jane have remains unchanged.

Number of buttons that each of them will have
= 92 u ÷ 2
= 46 u

Number of buttons that Anna gives to Jane
= 52 u - 46 u
= 6 u

6 u = 42

1 u = 42 ÷ 6 = 7

Total number of buttons that three of them have
= 92 u + 13 u
= 105 u

Average number of buttons that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 7
= 245

Answer(s): 245