Victoria and Wendy had $146. Wendy had $18 more than Victoria. Victoria spent 3 times as much as Wendy and was left with
25 as much as Wendy. How much did Victoria spend more than Wendy?
| |
Make p the same
(1)x5 = (3) |
Victoria
(1) |
Wendy
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Victoria
and Wendy at first |
|
|
$18 more |
|
$146 |
| Before |
$320 |
$64 |
$82 |
$164 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Victoria had at first
= (146 - 18) ÷ 2
= 128 ÷ 2
= $64
Amount that Wendy had at first
= 64 + 18
= $82
64 - 3 u = 2 p --- (1)
82 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
320 - 15 u =
10 p --- (3)
(2)
x 2
164 - 2 u =
10 p --- (4)
(4) = (3)
164 - 2 u = 320 - 15 u
15 u - 2 u = 320 - 164
13 u = 156
1 u = 156 ÷ 13 = 12
Amount that Victoria spent more than Wendy
= 3 u - 1 u
= 2 u
= 2 x 12
= $24
Answer(s): $24
