Ivory and Gabby had a total of $500 at first. After Ivory spent
14 of her money and Gabby spent
12 of her money, they had the same amount of money left.
- How much money did Ivory have at first?
- Gabby has the same number of $5-notes and $10-notes at first. How many $10-notes did she have at first?
| |
Ivory |
Gabby |
Total |
Before |
4 u |
2x3 =
6 u |
10 u |
Change |
- 1 u |
- 1x3 =
- 3 u |
|
After |
3 u |
1x3 =
3 u |
|
(a)
The amount that Ivory and Gabby 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 Ivory and Gabby had at first
= 4 u + 6 u
= 10 u
10 u = 500
1 u = 500 ÷ 10 = 50
Amount that Ivory had at first
= 4 u
= 4 x 50
= $200
(b)
Amount that Gabby had at first
= 6 u
= 6 x 50
= $300
Gabby 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
= 300 ÷ 15
= 20
Answer(s): (a) $200; (b) 20
