34 of Cindy's money was equal to
13 of Cathy's money at first. After Cindy spent $35 and Cathy spent
14 of her money, Cindy had
13 as much money as Cathy.
- How much money did Cathy have at first?
- How much money did Cathy have in the end?
| |
Cindy |
Cathy |
Comparing Cindy
and Cathy at first |
4x4 =
16 u |
9x4 =
36 u |
| Before |
|
4x9 =
36 u |
| Change |
- $35 |
- 1x9 =
- 9 u |
| After |
|
3x9 =
27 u |
Comparing Cindy
and Cathy in the end |
1x9 =
9 u |
3x9 =
27 u |
34 Cindy's money =
13 Cathy's money
Make numerators the same.
34 Cindy's money =
1x33x3 Cathy's money
34 Cindy's money =
39 Cathy's money
Cindy's money : Cathy's money = 4 : 9
The amount that Cathy had at first is repeated. Make the amount that Cathy had at first the same. LCM of 9 and 4 is 36.
Amount that Cindy spent
= 16 u - 9 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
(a)
Amount that Cathy had at first
= 36 u
= 36 x 5
= $180
(b)
Amount that Cathy had in the end
= 27 u
= 27 x 5
= $135
Answer(s): (a) $180; (b) $135
