Yen and Cathy had a total of $270 at first. After Yen spent
35 of her money and Cathy spent
12 of her money, they had the same amount of money left.
- How much money did Yen have at first?
- Cathy has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Yen |
Cathy |
Total |
Before |
5 u |
2x2 =
4 u |
9 u |
Change |
- 3 u |
- 1x2 =
- 2 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Yen and Cathy 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 Yen and Cathy had at first
= 5 u + 4 u
= 9 u
9 u = 270
1 u = 270 ÷ 9 = 30
Amount that Yen had at first
= 5 u
= 5 x 30
= $150
(b)
Amount that Cathy had at first
= 4 u
= 4 x 30
= $120
Cathy has the same number of $2-note and $10-note at first.
Value of 1 set of $2-note and $10-note
= 2 + 10
= $12
Number of 2-notes
= 120 ÷ 12
= 10
Answer(s): (a) $150; (b) 10
