Hazel had $77 more than Gwen. Hazel spent
35 of her money and Gwen spent
34 of her money. In the end, Hazel had 3 times as much as Gwen. Find the amount of money Gwen had at first.
| |
Hazel |
Gwen |
Comparing Hazel
and Gwen at first |
$77 more |
|
| Before |
5x3 =
15 u |
4x2 =
8 u |
| Change |
- 3x3 =
- 9 u |
- 3x2 =
- 6 u |
| After |
2x3 =
6 u |
1x2 =
2 u |
Comparing Hazel
and Gwen in the end |
3x2 =
6 u |
1x2 =
2 u |
The amount that Hazel had in the end is repeated. Make the amount that Hazel had in the end the same. LCM of 3 and 2 is 6.
Amount that Hazel had more than Gwen
= 15 u - 8 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Amount that Gwen had at first
= 8 u
= 8 x 11
= $88
Answer(s): $88
