Rachel and Eva had a total of $400 at first. After Rachel spent
14 of her money and Eva spent
12 of her money, they had the same amount of money left.
- How much money did Rachel have at first?
- Eva has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Rachel |
Eva |
Total |
Before |
4 u |
2x3 =
6 u |
10 u |
Change |
- 1 u |
- 1x3 =
- 3 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Rachel and Eva 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 Rachel and Eva had at first
= 4 u + 6 u
= 10 u
10 u = 400
1 u = 400 ÷ 10 = 40
Amount that Rachel had at first
= 4 u
= 4 x 40
= $160
(b)
Amount that Eva had at first
= 6 u
= 6 x 40
= $240
Eva 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
= 240 ÷ 15
= 16
Answer(s): (a) $160; (b) 16
