Emma and Tina had a total of $330 at first. After Emma spent
35 of her money and Tina spent
23 of her money, they had the same amount of money left.
- How much money did Emma have at first?
- Tina has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Emma |
Tina |
Total |
Before |
5 u |
3x2 =
6 u |
11 u |
Change |
- 3 u |
- 2x2 =
- 4 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Emma and Tina 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 Emma and Tina had at first
= 5 u + 6 u
= 11 u
11 u = 330
1 u = 330 ÷ 11 = 30
Amount that Emma had at first
= 5 u
= 5 x 30
= $150
(b)
Amount that Tina had at first
= 6 u
= 6 x 30
= $180
Tina 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
= 180 ÷ 15
= 12
Answer(s): (a) $150; (b) 12
