16 of Gwen's money was equal to
15 of Shannon's money at first. After Gwen spent $190 and Shannon spent
14 of her money, Gwen had
13 as much money as Shannon.
- How much money did Shannon have at first?
- How much money did Shannon have in the end?
| |
Gwen |
Shannon |
Comparing Gwen
and Shannon at first |
6x4 =
24 u |
5x4 =
20 u |
| Before |
|
4x5 =
20 u |
| Change |
- $190 |
- 1x5 =
- 5 u |
| After |
|
3x5 =
15 u |
Comparing Gwen
and Shannon in the end |
1x5 =
5 u |
3x5 =
15 u |
16 Gwen's money =
15 Shannon's money
Make numerators the same.
16 Gwen's money =
1x15x1 Shannon's money
16 Gwen's money =
15 Shannon's money
Gwen's money : Shannon's money = 6 : 5
The amount that Shannon had at first is repeated. Make the amount that Shannon had at first the same. LCM of 5 and 4 is 20.
Amount that Gwen spent
= 24 u - 5 u
= 19 u
19 u = 190
1 u = 190 ÷ 19 = 10
(a)
Amount that Shannon had at first
= 20 u
= 20 x 10
= $200
(b)
Amount that Shannon had in the end
= 15 u
= 15 x 10
= $150
Answer(s): (a) $200; (b) $150
