Lucy and Joelle had a total of $780 at first. After Lucy spent
14 of her money and Joelle spent
23 of her money, they had the same amount of money left.
- How much money did Lucy have at first?
- Joelle has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Lucy |
Joelle |
Total |
Before |
4 u |
3x3 =
9 u |
13 u |
Change |
- 1 u |
- 2x3 =
- 6 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Lucy and Joelle 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 Lucy and Joelle had at first
= 4 u + 9 u
= 13 u
13 u = 780
1 u = 780 ÷ 13 = 60
Amount that Lucy had at first
= 4 u
= 4 x 60
= $240
(b)
Amount that Joelle had at first
= 9 u
= 9 x 60
= $540
Joelle 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) $240; (b) 45
