14 of Ivory's money was equal to
15 of Gwen's money at first. After Ivory spent $21 and Gwen spent
13 of her money, Ivory had
12 as much money as Gwen.
- How much money did Gwen have at first?
- How much money did Gwen have in the end?
| |
Ivory |
Gwen |
Comparing Ivory
and Gwen at first |
4x3 =
12 u |
5x3 =
15 u |
| Before |
|
3x5 =
15 u |
| Change |
- $21 |
- 1x5 =
- 5 u |
| After |
|
2x5 =
10 u |
Comparing Ivory
and Gwen in the end |
1x5 =
5 u |
2x5 =
10 u |
14 Ivory's money =
15 Gwen's money
Make numerators the same.
14 Ivory's money =
1x15x1 Gwen's money
14 Ivory's money =
15 Gwen's money
Ivory's money : Gwen's money = 4 : 5
The amount that Gwen had at first is repeated. Make the amount that Gwen had at first the same. LCM of 5 and 3 is 15.
Amount that Ivory spent
= 12 u - 5 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
(a)
Amount that Gwen had at first
= 15 u
= 15 x 3
= $45
(b)
Amount that Gwen had in the end
= 10 u
= 10 x 3
= $30
Answer(s): (a) $45; (b) $30
