35 of Min's money was equal to
13 of Tammy's money at first. After Min spent $99 and Tammy spent
14 of her money, Min had
13 as much money as Tammy.
- How much money did Tammy have at first?
- How much money did Tammy have in the end?
| |
Min |
Tammy |
Comparing Min
and Tammy at first |
5x4 =
20 u |
9x4 =
36 u |
| Before |
|
4x9 =
36 u |
| Change |
- $99 |
- 1x9 =
- 9 u |
| After |
|
3x9 =
27 u |
Comparing Min
and Tammy in the end |
1x9 =
9 u |
3x9 =
27 u |
35 Min's money =
13 Tammy's money
Make numerators the same.
35 Min's money =
1x33x3 Tammy's money
35 Min's money =
39 Tammy's money
Min's money : Tammy's money = 5 : 9
The amount that Tammy had at first is repeated. Make the amount that Tammy had at first the same. LCM of 9 and 4 is 36.
Amount that Min spent
= 20 u - 9 u
= 11 u
11 u = 99
1 u = 99 ÷ 11 = 9
(a)
Amount that Tammy had at first
= 36 u
= 36 x 9
= $324
(b)
Amount that Tammy had in the end
= 27 u
= 27 x 9
= $243
Answer(s): (a) $324; (b) $243
