Nora and Neave received $200 in total from their father. After Nora spent
23 of her money and Neave deposited
47 of his money into his savings account, Nora had twice as much money as Neave.
- Find the amount of money Nora received from her father.
- If Neave' savings increased by 20% after the deposit, how much was Neave' savings in the bank in the end?
|
Nora |
Neave |
Total |
Before |
3x6 = 18 u |
7 u |
$200 |
Change |
- 2x6 = - 12 u |
- 4 u |
|
After |
1x6 = 6 u |
3 u |
|
Comparing Nora and Neave in the end |
2x3 |
1x3 |
|
Fraction of Nora's money left
= 1 -
23 =
13Fraction of Neave's money left
= 1 -
47 =
37 The amount that Nora had in the end is repeated. Make the amount that Nora had in the end the same. LM of 2 and 1 is 6.
Total amount given to Nora and Neave
= 18 u + 7 u
= 25 u
25 u = 200
1 u = 200 ÷ 25 = 8
Amount that Nora received from her father
= 18 u
= 18 x 8
= $144
(b)
Amount that Neave deposited
= 4 u
= 4 x 8
= $32
Savings that Neave had at first = 100%
Savings that Neave had in the end
= 100% + 20%
= 120%
20% of the savings = 32
1% of the savings =
3220120% of the savings = 120 x
3220 = 192
Neave's savings in the end = $192
Answer(s): (a) $144; (b) $192