Emma and Albert received $635 in total from their father. After Emma spent ⁵₆ of her money and Albert deposited ²₇ of his money into his savings account, Emma had four times as much money as Albert.

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

	Emma	Albert	Total
Before	6x20 = 120 u	7 u	$635
Change	- 5x20 = - 100 u	- 2 u
After	1x20 = 20 u	5 u
Comparing Emma and Albert in the end	4x5	1x5

Fraction of Emma's money left
= 1 - ⁵₆
= ¹₆

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

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

Total amount given to Emma and Albert
= 120 u + 7 u
= 127 u

127 u = 635

1 u = 635 ÷ 127 = 5

Amount that Emma received from her father
= 120 u
= 120 x 5
= $600

(b)
Amount that Albert deposited
= 2 u
= 2 x 5
= $10

Savings that Albert had at first = 100%

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

40% of the savings = 10
1% of the savings = ¹⁰₄₀
140% of the savings = 140 x ¹⁰₄₀ = 35

Albert's savings in the end = $35

Answer(s): (a) $600; (b) $35