Shannon had $93 less than Gwen. Gwen spent
35 of her money and Shannon spent
56 of her money. In the end, Gwen had 3 times as much as Shannon. Find the amount of money Gwen had at first.
| |
Gwen |
Shannon |
Comparing Gwen
and Shannon at first |
$93 more |
|
| Before |
5x3 =
15 u |
6x2 =
12 u |
| Change |
- 3x3 =
- 9 u |
- 5x2 =
- 10 u |
| After |
2x3 =
6 u |
1x2 =
2 u |
Comparing Gwen
and Shannon in the end |
3x2 =
6 u |
1x2 =
2 u |
The amount that Gwen had in the end is repeated. Make the amount that Gwen had in the end the same. LCM of 3 and 2 is 6.
Amount that Shannon had less than Gwen
= 15 u - 12 u
= 3 u
3 u = 93
1 u = 93 ÷ 3 = 31
Amount that Gwen had at first
= 15 u
= 15 x 31
= $465
Answer(s): $465
