Olivia and Zara had a total of $1260 at first. After Olivia spent
25 of her money and Zara spent
23 of her money, they had the same amount of money left.
- How much money did Olivia have at first?
- Zara has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Olivia |
Zara |
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 Olivia and Zara 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 Olivia and Zara had at first
= 5 u + 9 u
= 14 u
14 u = 1260
1 u = 1260 ÷ 14 = 90
Amount that Olivia had at first
= 5 u
= 5 x 90
= $450
(b)
Amount that Zara had at first
= 9 u
= 9 x 90
= $810
Zara 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
= 810 ÷ 15
= 54
Answer(s): (a) $450; (b) 54
