Diana and Tina had a total of $1100 at first. After Diana spent
35 of her money and Tina spent
23 of her money, they had the same amount of money left.
- How much money did Diana have at first?
- Tina has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Diana |
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 Diana 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 Diana and Tina had at first
= 5 u + 6 u
= 11 u
11 u = 1100
1 u = 1100 ÷ 11 = 100
Amount that Diana had at first
= 5 u
= 5 x 100
= $500
(b)
Amount that Tina had at first
= 6 u
= 6 x 100
= $600
Tina 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
= 600 ÷ 15
= 40
Answer(s): (a) $500; (b) 40
