Jane and Pamela had $153. Pamela had $9 more than Jane. Jane spent 2 times as much as Pamela and was left with
34 as much as Pamela. How much did Jane spend?
| |
Make p the same
(1)x4 = (3) |
Jane
(1) |
Pamela
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Jane
and Pamela at first |
|
|
$9 more |
|
$153 |
| Before |
$288 |
$72 |
$81 |
$243 |
|
| Change |
- 8 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Jane had at first
= (153 - 9) ÷ 2
= 144 ÷ 2
= $72
Amount that Pamela had at first
= 72 + 9
= $81
72 - 2 u = 3 p --- (1)
81 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
288 - 8 u =
12 p --- (3)
(2)
x 3
243 - 3 u =
12 p --- (4)
(4) = (3)
243 - 3 u = 288 - 8 u
8 u - 3 u = 288 - 243
5 u = 45
1 u = 45 ÷ 5 = 9
Amount that Jane spent
= 2 u
= 2 x 9
= $18
Answer(s): $18
