Diana and Bobby received $1236 in total from their father. After Diana spent ⁵₆ of her money and Bobby deposited ³₇ of his money into his savings account, Diana had four times as much money as Bobby.

1. Find the amount of money Diana received from her father.
2. If Bobby' savings increased by 25% after the deposit, how much was Bobby' savings in the bank in the end?

	Diana	Bobby	Total
Before	6x16 = 96 u	7 u	$1236
Change	- 5x16 = - 80 u	- 3 u
After	1x16 = 16 u	4 u
Comparing Diana and Bobby in the end	4x4	1x4

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

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

The amount that Diana had in the end is repeated.  Make the amount that Diana had in the end the same. LM of 4 and 1 is 16.

Total amount given to Diana and Bobby
= 96 u + 7 u
= 103 u

103 u = 1236

1 u = 1236 ÷ 103 = 12

Amount that Diana received from her father
= 96 u
= 96 x 12
= $1152

(b)
Amount that Bobby deposited
= 3 u
= 3 x 12
= $36

Savings that Bobby had at first = 100%

Savings that Bobby had in the end
= 100% + 25%
= 125%

25% of the savings = 36
1% of the savings = ³⁶₂₅
125% of the savings = 125 x ³⁶₂₅ = 180

Bobby's savings in the end = $180

Answer(s): (a) $1152; (b) $180