Sam and Rachel had equal amount of money. Sam spent
12 of his money on a sweater while Rachel spent
23 of her money on a blazer. Given that Rachel spent $20 more than Sam, how much did Sam have at first?
| |
Sam |
Rachel |
| Before |
2x3 =
6 u |
3x2 =
6 u |
| Change |
- 1x3 =
- 3 u |
- 2x2 =
- 4 u |
| After |
1x3 =
3 u |
1x2 =
2 u |
The amount that Sam and Rachel had at first is the same. Make the amount that Sam and Rachel had at first the same. LCM of 2 and 3 is 6.
Amount that Rachel spent more than Sam
= 4 u - 3 u
= 1 u
1 u = 20
Amount that Sam had at first
= 6 u
= 6 x 20
= $120
Answer(s): $120
