Natalie and Elyse had a total of $1170 at first. After Natalie spent
35 of her money and Elyse spent
34 of her money, they had the same amount of money left.
- How much money did Natalie have at first?
- Elyse has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Natalie |
Elyse |
Total |
Before |
5 u |
4x2 =
8 u |
13 u |
Change |
- 3 u |
- 3x2 =
- 6 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Natalie and Elyse 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 Natalie and Elyse had at first
= 5 u + 8 u
= 13 u
13 u = 1170
1 u = 1170 ÷ 13 = 90
Amount that Natalie had at first
= 5 u
= 5 x 90
= $450
(b)
Amount that Elyse had at first
= 8 u
= 8 x 90
= $720
Elyse has the same number of $5-note and $10-note at first.
Value of 1 set of $5-note and $10-note
= 5 + 10
= $15
Number of 5-notes
= 720 ÷ 15
= 48
Answer(s): (a) $450; (b) 48
