Betty and Lucy had a total of $990 at first. After Betty spent
35 of her money and Lucy spent
23 of her money, they had the same amount of money left.
- How much money did Betty have at first?
- Lucy has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Betty |
Lucy |
Total |
Before |
5 u |
3x2 =
6 u |
11 u |
Change |
- 3 u |
- 2x2 =
- 4 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Betty and Lucy 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 Betty and Lucy had at first
= 5 u + 6 u
= 11 u
11 u = 990
1 u = 990 ÷ 11 = 90
Amount that Betty had at first
= 5 u
= 5 x 90
= $450
(b)
Amount that Lucy had at first
= 6 u
= 6 x 90
= $540
Lucy 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
= 540 ÷ 12
= 45
Answer(s): (a) $450; (b) 45
