Cindy and Perry received $1236 in total from their father. After Cindy spent
56 of her money and Perry deposited
37 of his money into his savings account, Cindy had four times as much money as Perry.
- Find the amount of money Cindy received from her father.
- If Perry' savings increased by 25% after the deposit, how much was Perry' savings in the bank in the end?
|
Cindy |
Perry |
Total |
Before |
6x16 = 96 u |
7 u |
$1236 |
Change |
- 5x16 = - 80 u |
- 3 u |
|
After |
1x16 = 16 u |
4 u |
|
Comparing Cindy and Perry in the end |
4x4 |
1x4 |
|
Fraction of Cindy's money left
= 1 -
56 =
16Fraction of Perry's money left
= 1 -
37 =
47 The amount that Cindy had in the end is repeated. Make the amount that Cindy had in the end the same. LM of 4 and 1 is 16.
Total amount given to Cindy and Perry
= 96 u + 7 u
= 103 u
103 u = 1236
1 u = 1236 ÷ 103 = 12
Amount that Cindy received from her father
= 96 u
= 96 x 12
= $1152
(b)
Amount that Perry deposited
= 3 u
= 3 x 12
= $36
Savings that Perry had at first = 100%
Savings that Perry had in the end
= 100% + 25%
= 125%
25% of the savings = 36
1% of the savings =
3625125% of the savings = 125 x
3625 = 180
Perry's savings in the end = $180
Answer(s): (a) $1152; (b) $180