Winnie and Kylie had $142. Kylie had $10 more than Winnie. Winnie spent 4 times as much as Kylie and was left with
35 as much as Kylie. How much did Winnie spend?
| |
Make p the same
(1)x5 = (3) |
Winnie
(1) |
Kylie
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Winnie
and Kylie at first |
|
|
$10 more |
|
$142 |
| Before |
$330 |
$66 |
$76 |
$228 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Winnie had at first
= (142 - 10) ÷ 2
= 132 ÷ 2
= $66
Amount that Kylie had at first
= 66 + 10
= $76
66 - 4 u = 3 p --- (1)
76 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
330 - 20 u =
15 p --- (3)
(2)
x 3
228 - 3 u =
15 p --- (4)
(4) = (3)
228 - 3 u = 330 - 20 u
20 u - 3 u = 330 - 228
17 u = 102
1 u = 102 ÷ 17 = 6
Amount that Winnie spent
= 4 u
= 4 x 6
= $24
Answer(s): $24
