Victoria and Raeann had $103. Raeann had $1 more than Victoria. Victoria spent 3 times as much as Raeann and was left with
23 as much as Raeann. How much did Victoria spend more than Raeann?
| |
Make p the same
(1)x3 = (3) |
Victoria
(1) |
Raeann
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Victoria
and Raeann at first |
|
|
$1 more |
|
$103 |
| Before |
$153 |
$51 |
$52 |
$104 |
|
| Change |
- 9 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Victoria had at first
= (103 - 1) ÷ 2
= 102 ÷ 2
= $51
Amount that Raeann had at first
= 51 + 1
= $52
51 - 3 u = 2 p --- (1)
52 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
153 - 9 u =
6 p --- (3)
(2)
x 2
104 - 2 u =
6 p --- (4)
(4) = (3)
104 - 2 u = 153 - 9 u
9 u - 2 u = 153 - 104
7 u = 49
1 u = 49 ÷ 7 = 7
Amount that Victoria spent more than Raeann
= 3 u - 1 u
= 2 u
= 2 x 7
= $14
Answer(s): $14
