Shiyun and Elyse had a total of $990 at first. After Shiyun spent
13 of her money and Elyse spent
34 of her money, they had the same amount of money left.
- How much money did Shiyun have at first?
- Elyse has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Shiyun |
Elyse |
Total |
Before |
3 u |
4x2 =
8 u |
11 u |
Change |
- 1 u |
- 3x2 =
- 6 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Shiyun 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 2 is 2.
Total amount that Shiyun and Elyse had at first
= 3 u + 8 u
= 11 u
11 u = 990
1 u = 990 ÷ 11 = 90
Amount that Shiyun had at first
= 3 u
= 3 x 90
= $270
(b)
Amount that Elyse had at first
= 8 u
= 8 x 90
= $720
Elyse has the same number of $10-note and $5-note at first.
Value of 1 set of $10-note and $5-note
= 10 + 5
= $15
Number of 10-notes
= 720 ÷ 15
= 48
Answer(s): (a) $270; (b) 48
