Diana and Lee received $297 in total from their father. After Diana spent ⁴₅ of her money and Lee deposited ⁵₇ of his money into his savings account, Diana had twice as much money as Lee.

1. Find the amount of money Diana received from her father.
2. If Lee' savings increased by 20% after the deposit, how much was Lee' savings in the bank in the end?

	Diana	Lee	Total
Before	5x4 = 20 u	7 u	$297
Change	- 4x4 = - 16 u	- 5 u
After	1x4 = 4 u	2 u
Comparing Diana and Lee in the end	2x2	1x2

Fraction of Diana's money left
= 1 - ⁴₅
= ¹₅

Fraction of Lee's money left
= 1 - ⁵₇
= ²₇

The amount that Diana had in the end is repeated.  Make the amount that Diana had in the end the same. LM of 2 and 1 is 4.

Total amount given to Diana and Lee
= 20 u + 7 u
= 27 u

27 u = 297

1 u = 297 ÷ 27 = 11

Amount that Diana received from her father
= 20 u
= 20 x 11
= $220

(b)
Amount that Lee deposited
= 5 u
= 5 x 11
= $55

Savings that Lee had at first = 100%

Savings that Lee had in the end
= 100% + 20%
= 120%

20% of the savings = 55
1% of the savings = ⁵⁵₂₀
120% of the savings = 120 x ⁵⁵₂₀ = 330

Lee's savings in the end = $330

Answer(s): (a) $220; (b) $330