Abi and Harry received $259 in total from their father. After Abi spent ⁴₅ of her money and Harry deposited ⁵₇ of his money into his savings account, Abi had thrice as much money as Harry.

1. Find the amount of money Abi received from her father.
2. If Harry' savings increased by 35% after the deposit, how much was Harry' savings in the bank in the end?

	Abi	Harry	Total
Before	5x6 = 30 u	7 u	$259
Change	- 4x6 = - 24 u	- 5 u
After	1x6 = 6 u	2 u
Comparing Abi and Harry in the end	3x2	1x2

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

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

The amount that Abi had in the end is repeated.  Make the amount that Abi had in the end the same. LM of 3 and 1 is 6.

Total amount given to Abi and Harry
= 30 u + 7 u
= 37 u

37 u = 259

1 u = 259 ÷ 37 = 7

Amount that Abi received from her father
= 30 u
= 30 x 7
= $210

(b)
Amount that Harry deposited
= 5 u
= 5 x 7
= $35

Savings that Harry had at first = 100%

Savings that Harry had in the end
= 100% + 35%
= 135%

35% of the savings = 35
1% of the savings = ³⁵₃₅
135% of the savings = 135 x ³⁵₃₅ = 135

Harry's savings in the end = $135

Answer(s): (a) $210; (b) $135