Tina, Kimberly and Betty shared $378 among themselves. Kimberly and Betty shared ²₇ of the money equally. After Kimberly gave away some of her money to Tina, Betty had 6 times as much money as Kimberly. How much money did Kimberly give to Tina?

	Kimberly	Betty	Tina	Total
Before	1x6 = 6 u	1x6 = 6 u	5x6 = 30 u	42 u
Change	- 5 u	No change	+ 5 u
After	1x1 = 1 u	6x1 = 6 u	35 u	42 u

Kimberly and Betty shared ²₇ of the money equally.

Fraction of the money that Kimberly and Betty each had
= ²₇ ÷ 2
= ²₇ x ¹₂
= ¹₇

The amount that Betty had remains unchanged.  The amount that Betty had is the unchanged quantity. Make the amount that Betty had the same. LCM of 1 and 6 is 6.

The amount that Kimberly and Betty had at first is the same.

Total amount that they had at first
= 6 u + 6 u + 30 u
= 42 u

42 u = 378

1 u = 378 ÷ 42 = 9

Amount that Kimberly gave to Tina
= 6 u - 1 u
= 5 u
= 5 x 9
= $45

Answer(s): $45