Anna and Vanessa had a total of $990 at first. After Anna spent
35 of her money and Vanessa spent
23 of her money, they had the same amount of money left.
- How much money did Anna have at first?
- Vanessa has the same number of $10-notes and $5-notes at first. How many $5-notes did she have at first?
| |
Anna |
Vanessa |
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 Anna and Vanessa 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 Anna and Vanessa had at first
= 5 u + 6 u
= 11 u
11 u = 990
1 u = 990 ÷ 11 = 90
Amount that Anna had at first
= 5 u
= 5 x 90
= $450
(b)
Amount that Vanessa had at first
= 6 u
= 6 x 90
= $540
Vanessa 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
= 540 ÷ 15
= 36
Answer(s): (a) $450; (b) 36
