Kylie and Pamela had $118. Pamela had $4 more than Kylie. Kylie spent 3 times as much as Pamela and was left with
23 as much as Pamela. How much did Kylie spend more than Pamela?
| |
Make p the same
(1)x3 = (3) |
Kylie
(1) |
Pamela
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Kylie
and Pamela at first |
|
|
$4 more |
|
$118 |
| Before |
$171 |
$57 |
$61 |
$122 |
|
| Change |
- 9 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Kylie had at first
= (118 - 4) ÷ 2
= 114 ÷ 2
= $57
Amount that Pamela had at first
= 57 + 4
= $61
57 - 3 u = 2 p --- (1)
61 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
171 - 9 u =
6 p --- (3)
(2)
x 2
122 - 2 u =
6 p --- (4)
(4) = (3)
122 - 2 u = 171 - 9 u
9 u - 2 u = 171 - 122
7 u = 49
1 u = 49 ÷ 7 = 7
Amount that Kylie spent more than Pamela
= 3 u - 1 u
= 2 u
= 2 x 7
= $14
Answer(s): $14
