Shiyun and Victoria had $160. Victoria had $22 more than Shiyun. Shiyun spent 3 times as much as Victoria and was left with
35 as much as Victoria. How much did Victoria spend less than Shiyun?
| |
Make p the same
(1) x 5 = (3) |
Shiyun
(1) |
Victoria
(2) |
Make p the same
(2) x 3 = (4) |
Total
|
Comparing Shiyun
and Victoria at first |
|
|
$22 more |
|
$160 |
| Before |
$345 |
$69 |
$91 |
$273 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Shiyun had at first
= (160 - 22) ÷ 2
= 138 ÷ 2
= $69
Amount that Victoria had at first
= 69 + 22
= $91
69 - 3 u = 3 p --- (1)
91 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
345 - 15 u =
15 p --- (3)
(2)
x 3
273 - 3 u =
15 p --- (4)
(4) = (3)
273 - 3 u = 345 - 15 u
15 u - 3 u = 345 - 273
12 u = 72
1 u = 72 ÷ 12 = 6
Amount that Victoria spent less than Shiyun
= 3 u - 1 u
= 2 u
= 2 x 6
= $12
Answer(s): $12
