Elyse and Betty went shopping with a total of $174. After Elyse spent
34 of her money and Betty spent $27, the ratio of Betty's money became 3 times as much as Elyse's money. Find the ratio of Elyse's money to Betty's money at first.
| |
Elyse |
Betty |
| Before |
4 u |
3 u + 27 |
| Change |
- 3 u |
- 27 |
| After |
1 u |
|
| Comparing between Elyse and Betty in the end |
1 u |
3 u |
Total amount that Elyse and Betty had at first
= 4 u + 3 u + 27
= 7 u + 27
7 u + 27 = 174
4 u + 3 u = 174 - 27
7 u = 147
1 u = 147 ÷ 7 = 21
Amount that Elyse had at first
= 4 u
= 4 x 21
= $84
Amount that Betty had at first
= 174 - 84
= $90
At first
Elyse : Betty
84 : 90
14 : 15
Answer(s): 14 : 15
