Gabby and Seth received $385 in total from their father. After Gabby spent
56 of her money and Seth deposited
25 of his money into his savings account, Gabby had four times as much money as Seth.
- Find the amount of money Gabby received from her father.
- If Seth' savings increased by 40% after the deposit, how much was Seth' savings in the bank in the end?
|
Gabby |
Seth |
Total |
Before |
6x12 = 72 u |
5 u |
$385 |
Change |
- 5x12 = - 60 u |
- 2 u |
|
After |
1x12 = 12 u |
3 u |
|
Comparing Gabby and Seth in the end |
4x3 |
1x3 |
|
Fraction of Gabby's money left
= 1 -
56 =
16Fraction of Seth's money left
= 1 -
25 =
35 The amount that Gabby had in the end is repeated. Make the amount that Gabby had in the end the same. LM of 4 and 1 is 12.
Total amount given to Gabby and Seth
= 72 u + 5 u
= 77 u
77 u = 385
1 u = 385 ÷ 77 = 5
Amount that Gabby received from her father
= 72 u
= 72 x 5
= $360
(b)
Amount that Seth deposited
= 2 u
= 2 x 5
= $10
Savings that Seth had at first = 100%
Savings that Seth had in the end
= 100% + 40%
= 140%
40% of the savings = 10
1% of the savings =
1040140% of the savings = 140 x
1040 = 35
Seth's savings in the end = $35
Answer(s): (a) $360; (b) $35