Kathy and Jade had a total of $780 at first. After Kathy spent
15 of her money and Jade spent
12 of her money, they had the same amount of money left.
- How much money did Kathy have at first?
- Jade has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Kathy |
Jade |
Total |
Before |
5 u |
2x4 =
8 u |
13 u |
Change |
- 1 u |
- 1x4 =
- 4 u |
|
After |
4 u |
1x4 =
4 u |
|
(a)
The amount that Kathy and Jade had in the end is the same. Make the amount that they each had in the end the same. LCM of 1 and 4 is 4.
Total amount that Kathy and Jade had at first
= 5 u + 8 u
= 13 u
13 u = 780
1 u = 780 ÷ 13 = 60
Amount that Kathy had at first
= 5 u
= 5 x 60
= $300
(b)
Amount that Jade had at first
= 8 u
= 8 x 60
= $480
Jade 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
= 480 ÷ 15
= 32
Answer(s): (a) $300; (b) 32
