Yen had $684 more than Gem. Yen spent
47 of her money and Gem spent
23 of her money. In the end, Yen had 4 times as much as Gem. Find the amount of money Gem had at first.
| |
Yen |
Gem |
Comparing Yen
and Gem at first |
$684 more |
|
| Before |
7x4 =
28 u |
3x3 =
9 u |
| Change |
- 4x4 =
- 16 u |
- 2x3 =
- 6 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Yen
and Gem in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Yen had in the end is repeated. Make the amount that Yen had in the end the same. LCM of 4 and 3 is 12.
Amount that Yen had more than Gem
= 28 u - 9 u
= 19 u
19 u = 684
1 u = 684 ÷ 19 = 36
Amount that Gem had at first
= 9 u
= 9 x 36
= $324
Answer(s): $324
