Tina and Roshel had a total of $220 at first. After Tina spent
25 of her money and Roshel spent
12 of her money, they had the same amount of money left.
- How much money did Tina have at first?
- Roshel has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
|
Tina |
Roshel |
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 Tina and Roshel 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 Tina and Roshel had at first
= 5 u + 6 u
= 11 u
11 u = 220
1 u = 220 ÷ 11 = 20
Amount that Tina had at first
= 5 u
= 5 x 20
= $100
(b)
Amount that Roshel had at first
= 6 u
= 6 x 20
= $120
Roshel 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
= 120 ÷ 15
= 8
Answer(s): (a) $100; (b) 8