Shannon and Kylie had $200. Kylie had $24 more than Shannon. Shannon spent 4 times as much as Kylie and was left with
25 as much as Kylie. How much did Kylie spend less than Shannon?
| |
Make p the same
(1) x 5 = (3) |
Shannon
(1) |
Kylie
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Shannon
and Kylie at first |
|
|
$24 more |
|
$200 |
| Before |
$440 |
$88 |
$112 |
$224 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Shannon had at first
= (200 - 24) ÷ 2
= 176 ÷ 2
= $88
Amount that Kylie had at first
= 88 + 24
= $112
88 - 4 u = 2 p --- (1)
112 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
440 - 20 u =
10 p --- (3)
(2)
x 2
224 - 2 u =
10 p --- (4)
(4) = (3)
224 - 2 u = 440 - 20 u
20 u - 2 u = 440 - 224
18 u = 216
1 u = 216 ÷ 18 = 12
Amount that Kylie spent less than Shannon
= 4 u - 1 u
= 3 u
= 3 x 12
= $36
Answer(s): $36
