Nora and Jade had $105. Jade had $7 more than Nora. Nora spent 3 times as much as Jade and was left with
23 as much as Jade. How much did Jade spend less than Nora?
| |
Make p the same
(1) x 3 = (3) |
Nora
(1) |
Jade
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Nora
and Jade at first |
|
|
$7 more |
|
$105 |
| Before |
$147 |
$49 |
$56 |
$112 |
|
| Change |
- 9 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Nora had at first
= (105 - 7) ÷ 2
= 98 ÷ 2
= $49
Amount that Jade had at first
= 49 + 7
= $56
49 - 3 u = 2 p --- (1)
56 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
147 - 9 u =
6 p --- (3)
(2)
x 2
112 - 2 u =
6 p --- (4)
(4) = (3)
112 - 2 u = 147 - 9 u
9 u - 2 u = 147 - 112
7 u = 35
1 u = 35 ÷ 7 = 5
Amount that Jade spent less than Nora
= 3 u - 1 u
= 2 u
= 2 x 5
= $10
Answer(s): $10
