Tammy went shopping with thrice as much money as Penelope. After Tammy spent $800, Penelope had thrice as much money as Tammy had left. How much more money did Tammy bring along for shopping than Penelope?
| |
Tammy |
Penelope |
Difference |
| Before |
3x3 =
9 u |
1x3 =
3 u |
6 u |
| Change |
- $800 |
|
|
| After |
1 u |
3 u |
|
The amount that Penelope has remains unchanged at first and in the end. Make the amount that Penelope has the same. LCM of 1 and 3 is 3.
Amount that Tammy spent
= 9 u - 1 u
= 8 u
8 u = 800
1 u = 800 ÷ 8 = 100
Amount that Tammy brought along more than Penelope
= 9 u - 3 u
= 6 u
= 6 x 100
= $600
Answer(s): $600
