Gem and Fanny had $197. Fanny had $11 more than Gem. Gem spent 4 times as much as Fanny and was left with
35 as much as Fanny. How much did Gem spend more than Fanny?
| |
Make p the same
(1)x5 = (3) |
Gem
(1) |
Fanny
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Gem
and Fanny at first |
|
|
$11 more |
|
$197 |
| Before |
$465 |
$93 |
$104 |
$312 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Gem had at first
= (197 - 11) ÷ 2
= 186 ÷ 2
= $93
Amount that Fanny had at first
= 93 + 11
= $104
93 - 4 u = 3 p --- (1)
104 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
465 - 20 u =
15 p --- (3)
(2)
x 3
312 - 3 u =
15 p --- (4)
(4) = (3)
312 - 3 u = 465 - 20 u
20 u - 3 u = 465 - 312
17 u = 153
1 u = 153 ÷ 17 = 9
Amount that Gem spent more than Fanny
= 4 u - 1 u
= 3 u
= 3 x 9
= $27
Answer(s): $27
