Irene had $86 less than Tammy. Tammy spent
25 of her money and Irene spent
56 of her money. In the end, Tammy had 4 times as much as Irene. Find the amount of money Tammy had at first.
|
Tammy |
Irene |
Comparing Tammy and Irene at first |
$86 more |
|
Before |
5x4 = 20 u |
6x3 = 18 u |
Change |
- 2x4 = - 8 u |
- 5x3 = - 15 u |
After |
3x4 = 12 u |
1x3 = 3 u |
Comparing Tammy and Irene in the end |
4x3 = 12 u |
1x3 = 3 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 3 is 12.
Amount that Irene had less than Tammy
= 20 u - 18 u
= 2 u
2 u = 86
1 u = 86 ÷ 2 = 43
Amount that Tammy had at first
= 20 u
= 20 x 43
= $860
Answer(s): $860