Julie and Jane had $131. Jane had $7 more than Julie. Julie spent 2 times as much as Jane and was left with
23 as much as Jane. How much did Julie spend?
| |
Make p the same
(1)x3 = (3) |
Julie
(1) |
Jane
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Julie
and Jane at first |
|
|
$7 more |
|
$131 |
| Before |
$186 |
$62 |
$69 |
$138 |
|
| Change |
- 6 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Julie had at first
= (131 - 7) ÷ 2
= 124 ÷ 2
= $62
Amount that Jane had at first
= 62 + 7
= $69
62 - 2 u = 2 p --- (1)
69 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
186 - 6 u =
6 p --- (3)
(2)
x 2
138 - 2 u =
6 p --- (4)
(4) = (3)
138 - 2 u = 186 - 6 u
6 u - 2 u = 186 - 138
4 u = 48
1 u = 48 ÷ 4 = 12
Amount that Julie spent
= 2 u
= 2 x 12
= $24
Answer(s): $24
