Dana and George received $390 in total from their father. After Dana spent
45 of her money and George deposited
25 of his money into his savings account, Dana had four times as much money as George.
- Find the amount of money Dana received from her father.
- If George' savings increased by 25% after the deposit, how much was George' savings in the bank in the end?
|
Dana |
George |
Total |
Before |
5x12 = 60 u |
5 u |
$390 |
Change |
- 4x12 = - 48 u |
- 2 u |
|
After |
1x12 = 12 u |
3 u |
|
Comparing Dana and George in the end |
4x3 |
1x3 |
|
Fraction of Dana's money left
= 1 -
45 =
15Fraction of George's money left
= 1 -
25 =
35 The amount that Dana had in the end is repeated. Make the amount that Dana had in the end the same. LM of 4 and 1 is 12.
Total amount given to Dana and George
= 60 u + 5 u
= 65 u
65 u = 390
1 u = 390 ÷ 65 = 6
Amount that Dana received from her father
= 60 u
= 60 x 6
= $360
(b)
Amount that George deposited
= 2 u
= 2 x 6
= $12
Savings that George had at first = 100%
Savings that George had in the end
= 100% + 25%
= 125%
25% of the savings = 12
1% of the savings =
1225125% of the savings = 125 x
1225 = 60
George's savings in the end = $60
Answer(s): (a) $360; (b) $60