Diana went shopping with thrice as much money as Gabby. After Diana spent $550, Gabby had four times as much money as Diana had left. How much more money did Diana bring along for shopping than Gabby?
| |
Diana |
Gabby |
Difference |
| Before |
3x4 =
12 u |
1x4 =
4 u |
8 u |
| Change |
- $550 |
|
|
| After |
1 u |
4 u |
|
The amount that Gabby has remains unchanged at first and in the end. Make the amount that Gabby has the same. LCM of 1 and 4 is 4.
Amount that Diana spent
= 12 u - 1 u
= 11 u
11 u = 550
1 u = 550 ÷ 11 = 50
Amount that Diana brought along more than Gabby
= 12 u - 4 u
= 8 u
= 8 x 50
= $400
Answer(s): $400
