Wendy had $195 less than Gem. Gem spent
27 of her money and Wendy spent
23 of her money. In the end, Gem had 4 times as much as Wendy. Find the amount of money Gem had at first.
| |
Gem |
Wendy |
Comparing Gem
and Wendy at first |
$195 more |
|
| Before |
7x4 =
28 u |
3x5 =
15 u |
| Change |
- 2x4 =
- 8 u |
- 2x5 =
- 10 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Gem
and Wendy in the end |
4x5 =
20 u |
1x5 =
5 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 5 is 20.
Amount that Wendy had less than Gem
= 28 u - 15 u
= 13 u
13 u = 195
1 u = 195 ÷ 13 = 15
Amount that Gem had at first
= 28 u
= 28 x 15
= $420
Answer(s): $420
