25 of Ivory's money was equal to
14 of Nicole's money at first. After Ivory spent $21 and Nicole spent
14 of her money, Ivory had
13 as much money as Nicole.
- How much money did Nicole have at first?
- How much money did Nicole have in the end?
| |
Ivory |
Nicole |
Comparing Ivory
and Nicole at first |
5x1 =
5 u |
8x1 =
8 u |
| Before |
|
4x2 =
8 u |
| Change |
- $21 |
- 1x2 =
- 2 u |
| After |
|
3x2 =
6 u |
Comparing Ivory
and Nicole in the end |
1x2 =
2 u |
3x2 =
6 u |
25 Ivory's money =
14 Nicole's money
Make numerators the same.
25 Ivory's money =
1x24x2 Nicole's money
25 Ivory's money =
28 Nicole's money
Ivory's money : Nicole's money = 5 : 8
The amount that Nicole had at first is repeated. Make the amount that Nicole had at first the same. LCM of 8 and 4 is 8.
Amount that Ivory spent
= 5 u - 2 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
(a)
Amount that Nicole had at first
= 8 u
= 8 x 7
= $56
(b)
Amount that Nicole had in the end
= 6 u
= 6 x 7
= $42
Answer(s): (a) $56; (b) $42
