34 of Min's money was equal to
13 of Kathy's money at first. After Min spent $49 and Kathy spent
14 of her money, Min had
13 as much money as Kathy.
- How much money did Kathy have at first?
- How much money did Kathy have in the end?
| |
Min |
Kathy |
Comparing Min
and Kathy at first |
4x4 =
16 u |
9x4 =
36 u |
| Before |
|
4x9 =
36 u |
| Change |
- $49 |
- 1x9 =
- 9 u |
| After |
|
3x9 =
27 u |
Comparing Min
and Kathy in the end |
1x9 =
9 u |
3x9 =
27 u |
34 Min's money =
13 Kathy's money
Make numerators the same.
34 Min's money =
1x33x3 Kathy's money
34 Min's money =
39 Kathy's money
Min's money : Kathy's money = 4 : 9
The amount that Kathy had at first is repeated. Make the amount that Kathy had at first the same. LCM of 9 and 4 is 36.
Amount that Min spent
= 16 u - 9 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
(a)
Amount that Kathy had at first
= 36 u
= 36 x 7
= $252
(b)
Amount that Kathy had in the end
= 27 u
= 27 x 7
= $189
Answer(s): (a) $252; (b) $189
