Ivory and Sarah had a total of $770 at first. After Ivory spent
35 of her money and Sarah spent
23 of her money, they had the same amount of money left.
- How much money did Ivory have at first?
- Sarah has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Ivory |
Sarah |
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 Ivory and Sarah 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 Ivory and Sarah had at first
= 5 u + 6 u
= 11 u
11 u = 770
1 u = 770 ÷ 11 = 70
Amount that Ivory had at first
= 5 u
= 5 x 70
= $350
(b)
Amount that Sarah had at first
= 6 u
= 6 x 70
= $420
Sarah 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
= 420 ÷ 15
= 28
Answer(s): (a) $350; (b) 28
