13 of Gwen's money was equal to
12 of Zoe's money at first. After Gwen spent $78 and Zoe spent
25 of her money, Gwen had
13 as much money as Zoe.
- How much money did Zoe have at first?
- How much money did Zoe have in the end?
| |
Gwen |
Zoe |
Comparing Gwen
and Zoe at first |
3x5 =
15 u |
2x5 =
10 u |
| Before |
|
5x2 =
10 u |
| Change |
- $78 |
- 2x2 =
- 4 u |
| After |
|
3x2 =
6 u |
Comparing Gwen
and Zoe in the end |
1x2 =
2 u |
3x2 =
6 u |
13 Gwen's money =
12 Zoe's money
Make numerators the same.
13 Gwen's money =
1x12x1 Zoe's money
13 Gwen's money =
12 Zoe's money
Gwen's money : Zoe's money = 3 : 2
The amount that Zoe had at first is repeated. Make the amount that Zoe had at first the same. LCM of 2 and 5 is 10.
Amount that Gwen spent
= 15 u - 2 u
= 13 u
13 u = 78
1 u = 78 ÷ 13 = 6
(a)
Amount that Zoe had at first
= 10 u
= 10 x 6
= $60
(b)
Amount that Zoe had in the end
= 6 u
= 6 x 6
= $36
Answer(s): (a) $60; (b) $36
