Pamela and Lynn had $134. Lynn had $46 more than Pamela. Pamela spent 2 times as much as Lynn and was left with
25 as much as Lynn. How much did Pamela spend?
| |
Make p the same
(1)x5 = (3) |
Pamela
(1) |
Lynn
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Pamela
and Lynn at first |
|
|
$46 more |
|
$134 |
| Before |
$220 |
$44 |
$90 |
$180 |
|
| Change |
- 10 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Pamela had at first
= (134 - 46) ÷ 2
= 88 ÷ 2
= $44
Amount that Lynn had at first
= 44 + 46
= $90
44 - 2 u = 2 p --- (1)
90 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
220 - 10 u =
10 p --- (3)
(2)
x 2
180 - 2 u =
10 p --- (4)
(4) = (3)
180 - 2 u = 220 - 10 u
10 u - 2 u = 220 - 180
8 u = 40
1 u = 40 ÷ 8 = 5
Amount that Pamela spent
= 2 u
= 2 x 5
= $10
Answer(s): $10
