Elyse and Albert received $350 in total from their father. After Elyse spent
45 of her money and Albert deposited
25 of his money into his savings account, Elyse had thrice as much money as Albert.
- Find the amount of money Elyse received from her father.
- If Albert' savings increased by 25% after the deposit, how much was Albert' savings in the bank in the end?
|
Elyse |
Albert |
Total |
Before |
5x9 = 45 u |
5 u |
$350 |
Change |
- 4x9 = - 36 u |
- 2 u |
|
After |
1x9 = 9 u |
3 u |
|
Comparing Elyse and Albert in the end |
3x3 |
1x3 |
|
Fraction of Elyse's money left
= 1 -
45 =
15Fraction of Albert'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 Albert
= 45 u + 5 u
= 50 u
50 u = 350
1 u = 350 ÷ 50 = 7
Amount that Elyse received from her father
= 45 u
= 45 x 7
= $315
(b)
Amount that Albert deposited
= 2 u
= 2 x 7
= $14
Savings that Albert had at first = 100%
Savings that Albert had in the end
= 100% + 25%
= 125%
25% of the savings = 14
1% of the savings =
1425125% of the savings = 125 x
1425 = 70
Albert's savings in the end = $70
Answer(s): (a) $315; (b) $70