35 of Betty's money was equal to
13 of Natalie's money at first. After Betty spent $24 and Natalie spent
13 of her money, Betty had
12 as much money as Natalie.
- How much money did Natalie have at first?
- How much money did Natalie have in the end?
| |
Betty |
Natalie |
Comparing Betty
and Natalie at first |
5x1 =
5 u |
9x1 =
9 u |
| Before |
|
3x3 =
9 u |
| Change |
- $24 |
- 1x3 =
- 3 u |
| After |
|
2x3 =
6 u |
Comparing Betty
and Natalie in the end |
1x3 =
3 u |
2x3 =
6 u |
35 Betty's money =
13 Natalie's money
Make numerators the same.
35 Betty's money =
1x33x3 Natalie's money
35 Betty's money =
39 Natalie's money
Betty's money : Natalie's money = 5 : 9
The amount that Natalie had at first is repeated. Make the amount that Natalie had at first the same. LCM of 9 and 3 is 9.
Amount that Betty spent
= 5 u - 3 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
(a)
Amount that Natalie had at first
= 9 u
= 9 x 12
= $108
(b)
Amount that Natalie had in the end
= 6 u
= 6 x 12
= $72
Answer(s): (a) $108; (b) $72
