Nicole and Xuan had $126. Xuan had $6 more than Nicole. Nicole spent 2 times as much as Xuan and was left with
23 as much as Xuan. How much did Nicole spend?
| |
Make p the same
(1)x3 = (3) |
Nicole
(1) |
Xuan
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Nicole
and Xuan at first |
|
|
$6 more |
|
$126 |
| Before |
$180 |
$60 |
$66 |
$132 |
|
| Change |
- 6 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Nicole had at first
= (126 - 6) ÷ 2
= 120 ÷ 2
= $60
Amount that Xuan had at first
= 60 + 6
= $66
60 - 2 u = 2 p --- (1)
66 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
180 - 6 u =
6 p --- (3)
(2)
x 2
132 - 2 u =
6 p --- (4)
(4) = (3)
132 - 2 u = 180 - 6 u
6 u - 2 u = 180 - 132
4 u = 48
1 u = 48 ÷ 4 = 12
Amount that Nicole spent
= 2 u
= 2 x 12
= $24
Answer(s): $24
