Ivory had $80 less than Tammy. Tammy spent
27 of her money and Ivory spent
34 of her money. In the end, Tammy had 4 times as much as Ivory. Find the amount of money Tammy had at first.
|
Tammy |
Ivory |
Comparing Tammy and Ivory at first |
$80 more |
|
Before |
7x4 = 28 u |
4x5 = 20 u |
Change |
- 2x4 = - 8 u |
- 3x5 = - 15 u |
After |
5x4 = 20 u |
1x5 = 5 u |
Comparing Tammy and Ivory in the end |
4x5 = 20 u |
1x5 = 5 u |
The amount that Tammy had in the end is repeated. Make the amount that Tammy had in the end the same. LCM of 4 and 5 is 20.
Amount that Ivory had less than Tammy
= 28 u - 20 u
= 8 u
8 u = 80
1 u = 80 ÷ 8 = 10
Amount that Tammy had at first
= 28 u
= 28 x 10
= $280
Answer(s): $280