Wendy and Kathy had a total of $180 at first. After Wendy spent
13 of her money and Kathy spent
23 of her money, they had the same amount of money left.
- How much money did Wendy have at first?
- Kathy has the same number of $10-notes and $2-notes at first. How many $2-notes did she have at first?
| |
Wendy |
Kathy |
Total |
Before |
3 u |
3x2 =
6 u |
9 u |
Change |
- 1 u |
- 2x2 =
- 4 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Wendy and Kathy 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 Wendy and Kathy had at first
= 3 u + 6 u
= 9 u
9 u = 180
1 u = 180 ÷ 9 = 20
Amount that Wendy had at first
= 3 u
= 3 x 20
= $60
(b)
Amount that Kathy had at first
= 6 u
= 6 x 20
= $120
Kathy has the same number of $10-note and $2-note at first.
Value of 1 set of $10-note and $2-note
= 10 + 2
= $12
Number of 10-notes
= 120 ÷ 12
= 10
Answer(s): (a) $60; (b) 10
