Gem and Jaslyn went shopping with a total of $189. After Gem spent
34 of her money and Jaslyn spent $42, the ratio of Jaslyn's money became 3 times as much as Gem's money. Find the ratio of Gem's money to Jaslyn's money at first.
| |
Gem |
Jaslyn |
| Before |
4 u |
3 u + 42 |
| Change |
- 3 u |
- 42 |
| After |
1 u |
|
| Comparing between Gem and Jaslyn in the end |
1 u |
3 u |
Total amount that Gem and Jaslyn had at first
= 4 u + 3 u + 42
= 7 u + 42
7 u + 42 = 189
4 u + 3 u = 189 - 42
7 u = 147
1 u = 147 ÷ 7 = 21
Amount that Gem had at first
= 4 u
= 4 x 21
= $84
Amount that Jaslyn had at first
= 189 - 84
= $105
At first
Gem : Jaslyn
84 : 105
4 : 5
Answer(s): 4 : 5
