Xuan and Roshel had a total of $390 at first. After Xuan spent
15 of her money and Roshel spent
12 of her money, they had the same amount of money left.
- How much money did Xuan have at first?
- Roshel has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Xuan |
Roshel |
Total |
Before |
5 u |
2x4 =
8 u |
13 u |
Change |
- 1 u |
- 1x4 =
- 4 u |
|
After |
4 u |
1x4 =
4 u |
|
(a)
The amount that Xuan and Roshel had in the end is the same. Make the amount that they each had in the end the same. LCM of 1 and 4 is 4.
Total amount that Xuan and Roshel had at first
= 5 u + 8 u
= 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
Amount that Xuan had at first
= 5 u
= 5 x 30
= $150
(b)
Amount that Roshel had at first
= 8 u
= 8 x 30
= $240
Roshel has the same number of $5-note and $10-note at first.
Value of 1 set of $5-note and $10-note
= 5 + 10
= $15
Number of 5-notes
= 240 ÷ 15
= 16
Answer(s): (a) $150; (b) 16
