Jen and Oscar received $804 in total from their father. After Jen spent
45 of her money and Oscar deposited
47 of his money into his savings account, Jen had four times as much money as Oscar.
- Find the amount of money Jen received from her father.
- If Oscar' savings increased by 25% after the deposit, how much was Oscar' savings in the bank in the end?
|
Jen |
Oscar |
Total |
Before |
5x12 = 60 u |
7 u |
$804 |
Change |
- 4x12 = - 48 u |
- 4 u |
|
After |
1x12 = 12 u |
3 u |
|
Comparing Jen and Oscar in the end |
4x3 |
1x3 |
|
Fraction of Jen's money left
= 1 -
45 =
15Fraction of Oscar'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 4 and 1 is 12.
Total amount given to Jen and Oscar
= 60 u + 7 u
= 67 u
67 u = 804
1 u = 804 ÷ 67 = 12
Amount that Jen received from her father
= 60 u
= 60 x 12
= $720
(b)
Amount that Oscar deposited
= 4 u
= 4 x 12
= $48
Savings that Oscar had at first = 100%
Savings that Oscar had in the end
= 100% + 25%
= 125%
25% of the savings = 48
1% of the savings =
4825125% of the savings = 125 x
4825 = 240
Oscar's savings in the end = $240
Answer(s): (a) $720; (b) $240