Dana and Gem had a total of $330 at first. After Dana spent
25 of her money and Gem spent
12 of her money, they had the same amount of money left.
- How much money did Dana have at first?
- Gem has the same number of $2-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Dana |
Gem |
Total |
Before |
5 u |
2x3 =
6 u |
11 u |
Change |
- 2 u |
- 1x3 =
- 3 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Dana and Gem 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 Dana and Gem had at first
= 5 u + 6 u
= 11 u
11 u = 330
1 u = 330 ÷ 11 = 30
Amount that Dana had at first
= 5 u
= 5 x 30
= $150
(b)
Amount that Gem had at first
= 6 u
= 6 x 30
= $180
Gem 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
= 180 ÷ 12
= 15
Answer(s): (a) $150; (b) 15
