Xuan and Xylia had a total of $600 at first. After Xuan spent
14 of her money and Xylia spent
12 of her money, they had the same amount of money left.
- How much money did Xuan have at first?
- Xylia has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Xuan |
Xylia |
Total |
Before |
4 u |
2x3 =
6 u |
10 u |
Change |
- 1 u |
- 1x3 =
- 3 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Xuan and Xylia had in the end is the same. Make the amount that they each had in the end the same. LCM of 1 and 3 is 3.
Total amount that Xuan and Xylia had at first
= 4 u + 6 u
= 10 u
10 u = 600
1 u = 600 ÷ 10 = 60
Amount that Xuan had at first
= 4 u
= 4 x 60
= $240
(b)
Amount that Xylia had at first
= 6 u
= 6 x 60
= $360
Xylia has the same number of $2-note and $10-note at first.
Value of 1 set of $2-note and $10-note
= 2 + 10
= $12
Number of 2-notes
= 360 ÷ 12
= 30
Answer(s): (a) $240; (b) 30
