Rachel went shopping with thrice as much money as Fanny. After Rachel spent $220, Fanny had four times as much money as Rachel had left. How much more money did Rachel bring along for shopping than Fanny?
|
Rachel |
Fanny |
Difference |
Before |
3x4 = 12 u |
1x4 = 4 u |
8 u |
Change |
- $220 |
|
|
After |
1 u |
4 u |
|
The amount that Fanny has remains unchanged at first and in the end. Make the amount that Fanny has the same. LCM of 1 and 4 is 4.
Amount that Rachel spent
= 12 u - 1 u
= 11 u
11 u = 220
1 u = 220 ÷ 11 = 20
Amount that Rachel brought along more than Fanny
= 12 u - 4 u
= 8 u
= 8 x 20
= $160
Answer(s): $160