Roshel and Elyse had a total of $300 at first. After Roshel spent
14 of her money and Elyse spent
12 of her money, they had the same amount of money left.
- How much money did Roshel have at first?
- Elyse has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Roshel |
Elyse |
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 Roshel and Elyse 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 Roshel and Elyse had at first
= 4 u + 6 u
= 10 u
10 u = 300
1 u = 300 ÷ 10 = 30
Amount that Roshel had at first
= 4 u
= 4 x 30
= $120
(b)
Amount that Elyse had at first
= 6 u
= 6 x 30
= $180
Elyse 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
= 180 ÷ 15
= 12
Answer(s): (a) $120; (b) 12
