Gem and Roshel had $179. Roshel had $15 more than Gem. Gem spent 4 times as much as Roshel and was left with
25 as much as Roshel. How much did Gem spend more than Roshel?
| |
Make p the same
(1)x5 = (3) |
Gem
(1) |
Roshel
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Gem
and Roshel at first |
|
|
$15 more |
|
$179 |
| Before |
$410 |
$82 |
$97 |
$194 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Gem had at first
= (179 - 15) ÷ 2
= 164 ÷ 2
= $82
Amount that Roshel had at first
= 82 + 15
= $97
82 - 4 u = 2 p --- (1)
97 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
410 - 20 u =
10 p --- (3)
(2)
x 2
194 - 2 u =
10 p --- (4)
(4) = (3)
194 - 2 u = 410 - 20 u
20 u - 2 u = 410 - 194
18 u = 216
1 u = 216 ÷ 18 = 12
Amount that Gem spent more than Roshel
= 4 u - 1 u
= 3 u
= 3 x 12
= $36
Answer(s): $36
