25 of Kathy's money was equal to
13 of Joelle's money at first. After Kathy spent $28 and Joelle spent
14 of her money, Kathy had
13 as much money as Joelle.
- How much money did Joelle have at first?
- How much money did Joelle have in the end?
| |
Kathy |
Joelle |
Comparing Kathy
and Joelle at first |
5x2 =
10 u |
6x2 =
12 u |
| Before |
|
4x3 =
12 u |
| Change |
- $28 |
- 1x3 =
- 3 u |
| After |
|
3x3 =
9 u |
Comparing Kathy
and Joelle in the end |
1x3 =
3 u |
3x3 =
9 u |
25 Kathy's money =
13 Joelle's money
Make numerators the same.
25 Kathy's money =
1x23x2 Joelle's money
25 Kathy's money =
26 Joelle's money
Kathy's money : Joelle's money = 5 : 6
The amount that Joelle had at first is repeated. Make the amount that Joelle had at first the same. LCM of 6 and 4 is 12.
Amount that Kathy spent
= 10 u - 3 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
(a)
Amount that Joelle had at first
= 12 u
= 12 x 4
= $48
(b)
Amount that Joelle had in the end
= 9 u
= 9 x 4
= $36
Answer(s): (a) $48; (b) $36
