A moment ago, Sammy had 5 times as much money as Kevin. Kevin withdrew $120 from his bank account. Now, Kevin has
13 as much money as Sammy.
- How much money does Kevin have now?
- What was the total amount of money they had a moment ago?
|
Sammy |
Kevin |
Total |
Before |
5x3 = 15 u |
1x3 = 3 u |
18 u |
Change |
|
+ $120 |
|
After |
3x5 = 15 u |
1x5 = 5 u |
|
(a)
When Kevin withdrew from his bank account, he had more money in the end than at first.
The amount that Sammy had remains unchanged. Make the amount that Sammy had at first and in the end the same. LCM of 5 and 3 is 15.
Amount that Kevin withdrew
= 5 u - 3 u
= 2 u
2 u = 120
1 u = 120 ÷ 2 = 60
Amount that Kevin had now
= 5 u
= 5 x 60
= $300
(b)
Total amount that Sammy and Kevin had a moment ago
= 15 u + 3 u
= 18 u
= 18 x 60
= $1080
Answer(s): (a) $300; (b) $1080