Wendy and Liam received $348 in total from their father. After Wendy spent ³₄ of her money and Liam deposited ²₇ of his money into his savings account, Wendy had four times as much money as Liam.

1. Find the amount of money Wendy received from her father.
2. If Liam' savings increased by 40% after the deposit, how much was Liam' savings in the bank in the end?

	Wendy	Liam	Total
Before	4x20 = 80 u	7 u	$348
Change	- 3x20 = - 60 u	- 2 u
After	1x20 = 20 u	5 u
Comparing Wendy and Liam in the end	4x5	1x5

Fraction of Wendy's money left
= 1 - ³₄
= ¹₄

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

The amount that Wendy had in the end is repeated.  Make the amount that Wendy had in the end the same. LM of 4 and 1 is 20.

Total amount given to Wendy and Liam
= 80 u + 7 u
= 87 u

87 u = 348

1 u = 348 ÷ 87 = 4

Amount that Wendy received from her father
= 80 u
= 80 x 4
= $320

(b)
Amount that Liam deposited
= 2 u
= 2 x 4
= $8

Savings that Liam had at first = 100%

Savings that Liam had in the end
= 100% + 40%
= 140%

40% of the savings = 8
1% of the savings = ⁸₄₀
140% of the savings = 140 x ⁸₄₀ = 28

Liam's savings in the end = $28

Answer(s): (a) $320; (b) $28