Fanny and Shannon had $119. Shannon had $7 more than Fanny. Fanny spent 3 times as much as Shannon and was left with
23 as much as Shannon. How much did Fanny spend more than Shannon?
| |
Make p the same
(1)x3 = (3) |
Fanny
(1) |
Shannon
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Fanny
and Shannon at first |
|
|
$7 more |
|
$119 |
| Before |
$168 |
$56 |
$63 |
$126 |
|
| Change |
- 9 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Fanny had at first
= (119 - 7) ÷ 2
= 112 ÷ 2
= $56
Amount that Shannon had at first
= 56 + 7
= $63
56 - 3 u = 2 p --- (1)
63 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
168 - 9 u =
6 p --- (3)
(2)
x 2
126 - 2 u =
6 p --- (4)
(4) = (3)
126 - 2 u = 168 - 9 u
9 u - 2 u = 168 - 126
7 u = 42
1 u = 42 ÷ 7 = 6
Amount that Fanny spent more than Shannon
= 3 u - 1 u
= 2 u
= 2 x 6
= $12
Answer(s): $12
