Lucy and Tina had a total of $810 at first. After Lucy spent
35 of her money and Tina spent
12 of her money, they had the same amount of money left.
- How much money did Lucy have at first?
- Tina has the same number of $10-notes and $2-notes at first. How many $2-notes did she have at first?
| |
Lucy |
Tina |
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 Lucy and Tina 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 Lucy and Tina had at first
= 5 u + 4 u
= 9 u
9 u = 810
1 u = 810 ÷ 9 = 90
Amount that Lucy had at first
= 5 u
= 5 x 90
= $450
(b)
Amount that Tina had at first
= 4 u
= 4 x 90
= $360
Tina 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
= 360 ÷ 12
= 30
Answer(s): (a) $450; (b) 30
