Jade and Yoko had $130. Yoko had $10 more than Jade. Jade spent 2 times as much as Yoko and was left with
23 as much as Yoko. How much did Jade spend?
| |
Make p the same
(1)x3 = (3) |
Jade
(1) |
Yoko
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Jade
and Yoko at first |
|
|
$10 more |
|
$130 |
| Before |
$180 |
$60 |
$70 |
$140 |
|
| Change |
- 6 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Jade had at first
= (130 - 10) ÷ 2
= 120 ÷ 2
= $60
Amount that Yoko had at first
= 60 + 10
= $70
60 - 2 u = 2 p --- (1)
70 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
180 - 6 u =
6 p --- (3)
(2)
x 2
140 - 2 u =
6 p --- (4)
(4) = (3)
140 - 2 u = 180 - 6 u
6 u - 2 u = 180 - 140
4 u = 40
1 u = 40 ÷ 4 = 10
Amount that Jade spent
= 2 u
= 2 x 10
= $20
Answer(s): $20
