David and Tammy had equal amount of money. David spent
12 of his money on a sweater while Tammy spent
23 of her money on a windbreaker. Given that Tammy spent $16 more than David, how much did David have at first?
|
David |
Tammy |
Before |
2x3 = 6 u |
3x2 = 6 u |
Change |
- 1x3 = - 3 u |
- 2x2 = - 4 u |
After |
1x3 = 3 u |
1x2 = 2 u |
The amount that David and Tammy had at first is the same. Make the amount that David and Tammy had at first the same. LCM of 2 and 3 is 6.
Amount that Tammy spent more than David
= 4 u - 3 u
= 1 u
1 u = 16
Amount that David had at first
= 6 u
= 6 x 16
= $96
Answer(s): $96