Kylie and Linda had $164. Linda had $24 more than Kylie. Kylie spent 4 times as much as Linda and was left with
25 as much as Linda. How much did Kylie spend more than Linda?
| |
Make p the same
(1)x5 = (3) |
Kylie
(1) |
Linda
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Kylie
and Linda at first |
|
|
$24 more |
|
$164 |
| Before |
$350 |
$70 |
$94 |
$188 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Kylie had at first
= (164 - 24) ÷ 2
= 140 ÷ 2
= $70
Amount that Linda had at first
= 70 + 24
= $94
70 - 4 u = 2 p --- (1)
94 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
350 - 20 u =
10 p --- (3)
(2)
x 2
188 - 2 u =
10 p --- (4)
(4) = (3)
188 - 2 u = 350 - 20 u
20 u - 2 u = 350 - 188
18 u = 162
1 u = 162 ÷ 18 = 9
Amount that Kylie spent more than Linda
= 4 u - 1 u
= 3 u
= 3 x 9
= $27
Answer(s): $27
