Emily went shopping with thrice as much money as Opal. After Emily spent $200, Opal had twice as much money as Emily had left. How much less money did Opal bring along for shopping than Emily?
| |
Emily |
Opal |
Difference |
| Before |
3x2 =
6 u |
1x2 =
2 u |
4 u |
| Change |
- $200 |
|
|
| After |
1 u |
2 u |
|
The amount that Opal has remains unchanged at first and in the end. Make the amount that Opal has the same. LCM of 1 and 2 is 2.
Amount that Emily spent
= 6 u - 1 u
= 5 u
5 u = 200
1 u = 200 ÷ 5 = 40
Amount that Opal brought along less than Emily
= 6 u - 2 u
= 4 u
= 4 x 40
= $160
Answer(s): $160
