Jane and Nora had $180. Nora had $24 more than Jane. Jane spent 3 times as much as Nora and was left with
35 as much as Nora. How much did Jane spend?
| |
Make p the same
(1)x5 = (3) |
Jane
(1) |
Nora
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Jane
and Nora at first |
|
|
$24 more |
|
$180 |
| Before |
$390 |
$78 |
$102 |
$306 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Jane had at first
= (180 - 24) ÷ 2
= 156 ÷ 2
= $78
Amount that Nora had at first
= 78 + 24
= $102
78 - 3 u = 3 p --- (1)
102 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
390 - 15 u =
15 p --- (3)
(2)
x 3
306 - 3 u =
15 p --- (4)
(4) = (3)
306 - 3 u = 390 - 15 u
15 u - 3 u = 390 - 306
12 u = 84
1 u = 84 ÷ 12 = 7
Amount that Jane spent
= 3 u
= 3 x 7
= $21
Answer(s): $21
