Vanessa and Roshel had a total of $210 at first. After Vanessa spent
13 of her money and Roshel spent
12 of her money, they had the same amount of money left.
- How much money did Vanessa have at first?
- Roshel has the same number of $10-notes and $2-notes at first. How many $2-notes did she have at first?
| |
Vanessa |
Roshel |
Total |
Before |
3 u |
2x2 =
4 u |
7 u |
Change |
- 1 u |
- 1x2 =
- 2 u |
|
After |
2 u |
1x2 =
2 u |
|
(a)
The amount that Vanessa 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 2 is 2.
Total amount that Vanessa and Roshel had at first
= 3 u + 4 u
= 7 u
7 u = 210
1 u = 210 ÷ 7 = 30
Amount that Vanessa had at first
= 3 u
= 3 x 30
= $90
(b)
Amount that Roshel had at first
= 4 u
= 4 x 30
= $120
Roshel has the same number of $10-note and $2-note at first.
Value of 1 set of $10-note and $2-note
= 10 + 2
= $12
Number of 10-notes
= 120 ÷ 12
= 10
Answer(s): (a) $90; (b) 10
