Betty and Eva had a total of $630 at first. After Betty spent
35 of her money and Eva spent
12 of her money, they had the same amount of money left.
- How much money did Betty have at first?
- Eva has the same number of $2-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Betty |
Eva |
Total |
Before |
5 u |
2x2 =
4 u |
9 u |
Change |
- 3 u |
- 1x2 =
- 2 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Betty 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 2 is 2.
Total amount that Betty and Eva had at first
= 5 u + 4 u
= 9 u
9 u = 630
1 u = 630 ÷ 9 = 70
Amount that Betty had at first
= 5 u
= 5 x 70
= $350
(b)
Amount that Eva had at first
= 4 u
= 4 x 70
= $280
Eva has the same number of $2-note and $5-note at first.
Value of 1 set of $2-note and $5-note
= 2 + 5
= $7
Number of 2-notes
= 280 ÷ 7
= 40
Answer(s): (a) $350; (b) 40
