Tina and Fiona had a total of $910 at first. After Tina spent
15 of her money and Fiona spent
12 of her money, they had the same amount of money left.
- How much money did Tina have at first?
- Fiona has the same number of $2-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Tina |
Fiona |
Total |
Before |
5 u |
2x4 =
8 u |
13 u |
Change |
- 1 u |
- 1x4 =
- 4 u |
|
After |
4 u |
1x4 =
4 u |
|
(a)
The amount that Tina and Fiona had in the end is the same. Make the amount that they each had in the end the same. LCM of 1 and 4 is 4.
Total amount that Tina and Fiona had at first
= 5 u + 8 u
= 13 u
13 u = 910
1 u = 910 ÷ 13 = 70
Amount that Tina had at first
= 5 u
= 5 x 70
= $350
(b)
Amount that Fiona had at first
= 8 u
= 8 x 70
= $560
Fiona 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
= 560 ÷ 7
= 80
Answer(s): (a) $350; (b) 80
