Jade and Gillian had a total of $260 at first. After Jade spent
14 of her money and Gillian spent
23 of her money, they had the same amount of money left.
- How much money did Jade have at first?
- Gillian has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Jade |
Gillian |
Total |
Before |
4 u |
3x3 =
9 u |
13 u |
Change |
- 1 u |
- 2x3 =
- 6 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Jade and Gillian 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 Jade and Gillian had at first
= 4 u + 9 u
= 13 u
13 u = 260
1 u = 260 ÷ 13 = 20
Amount that Jade had at first
= 4 u
= 4 x 20
= $80
(b)
Amount that Gillian had at first
= 9 u
= 9 x 20
= $180
Gillian 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
= 180 ÷ 15
= 12
Answer(s): (a) $80; (b) 12
