Yoko and Wesley received $329 in total from their father. After Yoko spent
45 of her money and Wesley deposited
37 of his money into his savings account, Yoko had twice as much money as Wesley.
- Find the amount of money Yoko received from her father.
- If Wesley' savings increased by 35% after the deposit, how much was Wesley' savings in the bank in the end?
|
Yoko |
Wesley |
Total |
Before |
5x8 = 40 u |
7 u |
$329 |
Change |
- 4x8 = - 32 u |
- 3 u |
|
After |
1x8 = 8 u |
4 u |
|
Comparing Yoko and Wesley in the end |
2x4 |
1x4 |
|
Fraction of Yoko's money left
= 1 -
45 =
15Fraction of Wesley's money left
= 1 -
37 =
47 The amount that Yoko had in the end is repeated. Make the amount that Yoko had in the end the same. LM of 2 and 1 is 8.
Total amount given to Yoko and Wesley
= 40 u + 7 u
= 47 u
47 u = 329
1 u = 329 ÷ 47 = 7
Amount that Yoko received from her father
= 40 u
= 40 x 7
= $280
(b)
Amount that Wesley deposited
= 3 u
= 3 x 7
= $21
Savings that Wesley had at first = 100%
Savings that Wesley had in the end
= 100% + 35%
= 135%
35% of the savings = 21
1% of the savings =
2135135% of the savings = 135 x
2135 = 81
Wesley's savings in the end = $81
Answer(s): (a) $280; (b) $81