Gabby and Glen received $291 in total from their father. After Gabby spent
56 of her money and Glen deposited
27 of his money into his savings account, Gabby had thrice as much money as Glen.
- Find the amount of money Gabby received from her father.
- If Glen' savings increased by 25% after the deposit, how much was Glen' savings in the bank in the end?
|
Gabby |
Glen |
Total |
Before |
6x15 = 90 u |
7 u |
$291 |
Change |
- 5x15 = - 75 u |
- 2 u |
|
After |
1x15 = 15 u |
5 u |
|
Comparing Gabby and Glen in the end |
3x5 |
1x5 |
|
Fraction of Gabby's money left
= 1 -
56 =
16Fraction of Glen's money left
= 1 -
27 =
57 The amount that Gabby had in the end is repeated. Make the amount that Gabby had in the end the same. LM of 3 and 1 is 15.
Total amount given to Gabby and Glen
= 90 u + 7 u
= 97 u
97 u = 291
1 u = 291 ÷ 97 = 3
Amount that Gabby received from her father
= 90 u
= 90 x 3
= $270
(b)
Amount that Glen deposited
= 2 u
= 2 x 3
= $6
Savings that Glen had at first = 100%
Savings that Glen had in the end
= 100% + 25%
= 125%
25% of the savings = 6
1% of the savings =
625125% of the savings = 125 x
625 = 30
Glen's savings in the end = $30
Answer(s): (a) $270; (b) $30