Jade and Kathy had $160. Kathy had $6 more than Jade. Jade spent 4 times as much as Kathy and was left with
35 as much as Kathy. How much did Jade spend more than Kathy?
| |
Make p the same
(1)x5 = (3) |
Jade
(1) |
Kathy
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Jade
and Kathy at first |
|
|
$6 more |
|
$160 |
| Before |
$385 |
$77 |
$83 |
$249 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Jade had at first
= (160 - 6) ÷ 2
= 154 ÷ 2
= $77
Amount that Kathy had at first
= 77 + 6
= $83
77 - 4 u = 3 p --- (1)
83 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
385 - 20 u =
15 p --- (3)
(2)
x 3
249 - 3 u =
15 p --- (4)
(4) = (3)
249 - 3 u = 385 - 20 u
20 u - 3 u = 385 - 249
17 u = 136
1 u = 136 ÷ 17 = 8
Amount that Jade spent more than Kathy
= 4 u - 1 u
= 3 u
= 3 x 8
= $24
Answer(s): $24
