Jen and Pierre received $312 in total from their father. After Jen spent ⁴₅ of her money and Pierre deposited ⁴₇ of his money into his savings account, Jen had thrice as much money as Pierre.

1. Find the amount of money Jen received from her father.
2. If Pierre' savings increased by 30% after the deposit, how much was Pierre' savings in the bank in the end?

	Jen	Pierre	Total
Before	5x9 = 45 u	7 u	$312
Change	- 4x9 = - 36 u	- 4 u
After	1x9 = 9 u	3 u
Comparing Jen and Pierre in the end	3x3	1x3

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

Fraction of Pierre's money left
= 1 - ⁴₇
= ³₇

The amount that Jen had in the end is repeated.  Make the amount that Jen had in the end the same. LM of 3 and 1 is 9.

Total amount given to Jen and Pierre
= 45 u + 7 u
= 52 u

52 u = 312

1 u = 312 ÷ 52 = 6

Amount that Jen received from her father
= 45 u
= 45 x 6
= $270

(b)
Amount that Pierre deposited
= 4 u
= 4 x 6
= $24

Savings that Pierre had at first = 100%

Savings that Pierre had in the end
= 100% + 30%
= 130%

30% of the savings = 24
1% of the savings = ²⁴₃₀
130% of the savings = 130 x ²⁴₃₀ = 104

Pierre's savings in the end = $104

Answer(s): (a) $270; (b) $104