Gwen and Gem went shopping with a total of $220. After Gwen spent
45 of her money and Gem spent $44, the ratio of Gem's money became 3 times as much as Gwen's money. Find the ratio of Gwen's money to Gem's money at first.
|
Gwen |
Gem |
Before |
5 u |
3 u + 44 |
Change |
- 4 u |
- 44 |
After |
1 u |
|
Comparing between Gwen and Gem in the end |
1 u |
3 u |
Total amount that Gwen and Gem had at first
= 5 u + 3 u + 44
= 8 u + 44
8 u + 44 = 220
5 u + 4 u = 220 - 44
8 u = 176
1 u = 176 ÷ 8 = 22
Amount that Gwen had at first
= 5 u
= 5 x 22
= $110
Amount that Gem had at first
= 220 - 110
= $110
At first
Gwen : Gem
110 : 110
1 : 1
Answer(s): 1 : 1