Elyse and Lee received $300 in total from their father. After Elyse spent
45 of her money and Lee deposited
25 of his money into his savings account, Elyse had thrice as much money as Lee.
- Find the amount of money Elyse received from her father.
- If Lee' savings increased by 25% after the deposit, how much was Lee' savings in the bank in the end?
|
Elyse |
Lee |
Total |
Before |
5x9 = 45 u |
5 u |
$300 |
Change |
- 4x9 = - 36 u |
- 2 u |
|
After |
1x9 = 9 u |
3 u |
|
Comparing Elyse and Lee in the end |
3x3 |
1x3 |
|
Fraction of Elyse's money left
= 1 -
45 =
15Fraction of Lee's money left
= 1 -
25 =
35 The amount that Elyse had in the end is repeated. Make the amount that Elyse had in the end the same. LM of 3 and 1 is 9.
Total amount given to Elyse and Lee
= 45 u + 5 u
= 50 u
50 u = 300
1 u = 300 ÷ 50 = 6
Amount that Elyse received from her father
= 45 u
= 45 x 6
= $270
(b)
Amount that Lee deposited
= 2 u
= 2 x 6
= $12
Savings that Lee had at first = 100%
Savings that Lee had in the end
= 100% + 25%
= 125%
25% of the savings = 12
1% of the savings =
1225125% of the savings = 125 x
1225 = 60
Lee's savings in the end = $60
Answer(s): (a) $270; (b) $60