Joelle and Cindy had a total of $90 at first. After Joelle spent
13 of her money and Cindy spent
23 of her money, they had the same amount of money left.
- How much money did Joelle have at first?
- Cindy has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Joelle |
Cindy |
Total |
Before |
3 u |
3x2 =
6 u |
9 u |
Change |
- 1 u |
- 2x2 =
- 4 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Joelle and Cindy 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 Joelle and Cindy had at first
= 3 u + 6 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Amount that Joelle had at first
= 3 u
= 3 x 10
= $30
(b)
Amount that Cindy had at first
= 6 u
= 6 x 10
= $60
Cindy has the same number of $10-note and $5-note at first.
Value of 1 set of $10-note and $5-note
= 10 + 5
= $15
Number of 10-notes
= 60 ÷ 15
= 4
Answer(s): (a) $30; (b) 4
