Kathy and Kimberly had $117. Kimberly had $1 more than Kathy. Kathy spent 3 times as much as Kimberly and was left with
23 as much as Kimberly. How much did Kathy spend more than Kimberly?
| |
Make p the same
(1)x3 = (3) |
Kathy
(1) |
Kimberly
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Kathy
and Kimberly at first |
|
|
$1 more |
|
$117 |
| Before |
$174 |
$58 |
$59 |
$118 |
|
| Change |
- 9 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Kathy had at first
= (117 - 1) ÷ 2
= 116 ÷ 2
= $58
Amount that Kimberly had at first
= 58 + 1
= $59
58 - 3 u = 2 p --- (1)
59 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
174 - 9 u =
6 p --- (3)
(2)
x 2
118 - 2 u =
6 p --- (4)
(4) = (3)
118 - 2 u = 174 - 9 u
9 u - 2 u = 174 - 118
7 u = 56
1 u = 56 ÷ 7 = 8
Amount that Kathy spent more than Kimberly
= 3 u - 1 u
= 2 u
= 2 x 8
= $16
Answer(s): $16
