Natalie had $155 more than Tammy. Natalie spent
35 of her money and Tammy spent
45 of her money. In the end, Natalie had 3 times as much as Tammy. Find the amount of money Tammy had at first.
| |
Natalie |
Tammy |
Comparing Natalie
and Tammy at first |
$155 more |
|
| Before |
5x3 =
15 u |
5x2 =
10 u |
| Change |
- 3x3 =
- 9 u |
- 4x2 =
- 8 u |
| After |
2x3 =
6 u |
1x2 =
2 u |
Comparing Natalie
and Tammy in the end |
3x2 =
6 u |
1x2 =
2 u |
The amount that Natalie had in the end is repeated. Make the amount that Natalie had in the end the same. LCM of 3 and 2 is 6.
Amount that Natalie had more than Tammy
= 15 u - 10 u
= 5 u
5 u = 155
1 u = 155 ÷ 5 = 31
Amount that Tammy had at first
= 10 u
= 10 x 31
= $310
Answer(s): $310
