Min and Glen received $385 in total from their father. After Min spent
23 of her money and Glen deposited
37 of his money into his savings account, Min had four times as much money as Glen.
- Find the amount of money Min received from her father.
- If Glen' savings increased by 20% after the deposit, how much was Glen' savings in the bank in the end?
|
Min |
Glen |
Total |
Before |
3x16 = 48 u |
7 u |
$385 |
Change |
- 2x16 = - 32 u |
- 3 u |
|
After |
1x16 = 16 u |
4 u |
|
Comparing Min and Glen in the end |
4x4 |
1x4 |
|
Fraction of Min's money left
= 1 -
23 =
13Fraction of Glen's money left
= 1 -
37 =
47 The amount that Min had in the end is repeated. Make the amount that Min had in the end the same. LM of 4 and 1 is 16.
Total amount given to Min and Glen
= 48 u + 7 u
= 55 u
55 u = 385
1 u = 385 ÷ 55 = 7
Amount that Min received from her father
= 48 u
= 48 x 7
= $336
(b)
Amount that Glen deposited
= 3 u
= 3 x 7
= $21
Savings that Glen had at first = 100%
Savings that Glen had in the end
= 100% + 20%
= 120%
20% of the savings = 21
1% of the savings =
2120120% of the savings = 120 x
2120 = 126
Glen's savings in the end = $126
Answer(s): (a) $336; (b) $126