34 of Betty's money was equal to
13 of Lynn's money at first. After Betty spent $21 and Lynn spent
14 of her money, Betty had
13 as much money as Lynn.
- How much money did Lynn have at first?
- How much money did Lynn have in the end?
| |
Betty |
Lynn |
Comparing Betty
and Lynn at first |
4x4 =
16 u |
9x4 =
36 u |
| Before |
|
4x9 =
36 u |
| Change |
- $21 |
- 1x9 =
- 9 u |
| After |
|
3x9 =
27 u |
Comparing Betty
and Lynn in the end |
1x9 =
9 u |
3x9 =
27 u |
34 Betty's money =
13 Lynn's money
Make numerators the same.
34 Betty's money =
1x33x3 Lynn's money
34 Betty's money =
39 Lynn's money
Betty's money : Lynn's money = 4 : 9
The amount that Lynn had at first is repeated. Make the amount that Lynn had at first the same. LCM of 9 and 4 is 36.
Amount that Betty spent
= 16 u - 9 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
(a)
Amount that Lynn had at first
= 36 u
= 36 x 3
= $108
(b)
Amount that Lynn had in the end
= 27 u
= 27 x 3
= $81
Answer(s): (a) $108; (b) $81
