Abi and Dana had a total of $200 at first. After Abi spent
14 of her money and Dana spent
12 of her money, they had the same amount of money left.
- How much money did Abi have at first?
- Dana has the same number of $10-notes and $2-notes at first. How many $2-notes did she have at first?
| |
Abi |
Dana |
Total |
Before |
4 u |
2x3 =
6 u |
10 u |
Change |
- 1 u |
- 1x3 =
- 3 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Abi and Dana 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 Abi and Dana had at first
= 4 u + 6 u
= 10 u
10 u = 200
1 u = 200 ÷ 10 = 20
Amount that Abi had at first
= 4 u
= 4 x 20
= $80
(b)
Amount that Dana had at first
= 6 u
= 6 x 20
= $120
Dana 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) $80; (b) 10
