13 of Nora's money was equal to
14 of Nicole's money at first. After Nora spent $77 and Nicole spent
25 of her money, Nora had
13 as much money as Nicole.
- How much money did Nicole have at first?
- How much money did Nicole have in the end?
| |
Nora |
Nicole |
Comparing Nora
and Nicole at first |
3x5 =
15 u |
4x5 =
20 u |
| Before |
|
5x4 =
20 u |
| Change |
- $77 |
- 2x4 =
- 8 u |
| After |
|
3x4 =
12 u |
Comparing Nora
and Nicole in the end |
1x4 =
4 u |
3x4 =
12 u |
13 Nora's money =
14 Nicole's money
Make numerators the same.
13 Nora's money =
1x14x1 Nicole's money
13 Nora's money =
14 Nicole's money
Nora's money : Nicole's money = 3 : 4
The amount that Nicole had at first is repeated. Make the amount that Nicole had at first the same. LCM of 4 and 5 is 20.
Amount that Nora spent
= 15 u - 4 u
= 11 u
11 u = 77
1 u = 77 ÷ 11 = 7
(a)
Amount that Nicole had at first
= 20 u
= 20 x 7
= $140
(b)
Amount that Nicole had in the end
= 12 u
= 12 x 7
= $84
Answer(s): (a) $140; (b) $84
