Elyse had $384 less than Gem. Gem spent
47 of her money and Elyse spent
34 of her money. In the end, Gem had 4 times as much as Elyse. Find the amount of money Gem had at first.
| |
Gem |
Elyse |
Comparing Gem
and Elyse at first |
$384 more |
|
| Before |
7x4 =
28 u |
4x3 =
12 u |
| Change |
- 4x4 =
- 16 u |
- 3x3 =
- 9 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Gem
and Elyse in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Gem had in the end is repeated. Make the amount that Gem had in the end the same. LCM of 4 and 3 is 12.
Amount that Elyse had less than Gem
= 28 u - 12 u
= 16 u
16 u = 384
1 u = 384 ÷ 16 = 24
Amount that Gem had at first
= 28 u
= 28 x 24
= $672
Answer(s): $672
