Hazel had $123 more than Tiffany. Hazel spent
35 of her money and Tiffany spent
56 of her money. In the end, Hazel had 3 times as much as Tiffany. Find the amount of money Tiffany had at first.
| |
Hazel |
Tiffany |
Comparing Hazel
and Tiffany at first |
$123 more |
|
| Before |
5x3 =
15 u |
6x2 =
12 u |
| Change |
- 3x3 =
- 9 u |
- 5x2 =
- 10 u |
| After |
2x3 =
6 u |
1x2 =
2 u |
Comparing Hazel
and Tiffany 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 Tiffany
= 15 u - 12 u
= 3 u
3 u = 123
1 u = 123 ÷ 3 = 41
Amount that Tiffany had at first
= 12 u
= 12 x 41
= $492
Answer(s): $492
