Hilda and Sabrina had a total of $420 at first. After Hilda spent
13 of her money and Sabrina spent
12 of her money, they had the same amount of money left.
- How much money did Hilda have at first?
- Sabrina has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Hilda |
Sabrina |
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 Hilda and Sabrina 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 Hilda and Sabrina had at first
= 3 u + 4 u
= 7 u
7 u = 420
1 u = 420 ÷ 7 = 60
Amount that Hilda had at first
= 3 u
= 3 x 60
= $180
(b)
Amount that Sabrina had at first
= 4 u
= 4 x 60
= $240
Sabrina 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
= 240 ÷ 15
= 16
Answer(s): (a) $180; (b) 16
