12 of Penelope's money was equal to
13 of Ivory's money at first. After Penelope spent $14 and Ivory spent
25 of her money, Penelope had
13 as much money as Ivory.
- How much money did Ivory have at first?
- How much money did Ivory have in the end?
|
Penelope |
Ivory |
Comparing Penelope and Ivory at first |
2x5 = 10 u |
3x5 = 15 u |
Before |
|
5x3 = 15 u |
Change |
- $14 |
- 2x3 = - 6 u |
After |
|
3x3 = 9 u |
Comparing Penelope and Ivory in the end |
1x3 = 3 u |
3x3 = 9 u |
12 Penelope's money =
13 Ivory's money
Make numerators the same.
12 Penelope's money =
1x13x1 Ivory's money
12 Penelope's money =
13 Ivory's money
Penelope's money : Ivory's money = 2 : 3
The amount that Ivory had at first is repeated. Make the amount that Ivory had at first the same. LCM of 3 and 5 is 15.
Amount that Penelope spent
= 10 u - 3 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
(a)
Amount that Ivory had at first
= 15 u
= 15 x 2
= $30
(b)
Amount that Ivory had in the end
= 9 u
= 9 x 2
= $18
Answer(s): (a) $30; (b) $18