Yen and Eric received $387 in total from their father. After Yen spent
56 of her money and Eric deposited
47 of his money into his savings account, Yen had twice as much money as Eric.
- Find the amount of money Yen received from her father.
- If Eric' savings increased by 40% after the deposit, how much was Eric' savings in the bank in the end?
|
Yen |
Eric |
Total |
Before |
6x6 = 36 u |
7 u |
$387 |
Change |
- 5x6 = - 30 u |
- 4 u |
|
After |
1x6 = 6 u |
3 u |
|
Comparing Yen and Eric in the end |
2x3 |
1x3 |
|
Fraction of Yen's money left
= 1 -
56 =
16Fraction of Eric's money left
= 1 -
47 =
37 The amount that Yen had in the end is repeated. Make the amount that Yen had in the end the same. LM of 2 and 1 is 6.
Total amount given to Yen and Eric
= 36 u + 7 u
= 43 u
43 u = 387
1 u = 387 ÷ 43 = 9
Amount that Yen received from her father
= 36 u
= 36 x 9
= $324
(b)
Amount that Eric deposited
= 4 u
= 4 x 9
= $36
Savings that Eric had at first = 100%
Savings that Eric had in the end
= 100% + 40%
= 140%
40% of the savings = 36
1% of the savings =
3640140% of the savings = 140 x
3640 = 126
Eric's savings in the end = $126
Answer(s): (a) $324; (b) $126