Winnie and Olivia had a total of $700 at first. After Winnie spent
25 of her money and Olivia spent
23 of her money, they had the same amount of money left.
- How much money did Winnie have at first?
- Olivia has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Winnie |
Olivia |
Total |
Before |
5 u |
3x3 =
9 u |
14 u |
Change |
- 2 u |
- 2x3 =
- 6 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Winnie and Olivia 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 Winnie and Olivia had at first
= 5 u + 9 u
= 14 u
14 u = 700
1 u = 700 ÷ 14 = 50
Amount that Winnie had at first
= 5 u
= 5 x 50
= $250
(b)
Amount that Olivia had at first
= 9 u
= 9 x 50
= $450
Olivia 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
= 450 ÷ 15
= 30
Answer(s): (a) $250; (b) 30
