Elyse and Anna went shopping with a total of $378. After Elyse spent
56 of her money and Anna spent $48, the ratio of Anna's money became 5 times as much as Elyse's money. Find the ratio of Elyse's money to Anna's money at first.
|
Elyse |
Anna |
Before |
6 u |
5 u + 48 |
Change |
- 5 u |
- 48 |
After |
1 u |
|
Comparing between Elyse and Anna in the end |
1 u |
5 u |
Total amount that Elyse and Anna had at first
= 6 u + 5 u + 48
= 11 u + 48
11 u + 48 = 378
6 u + 5 u = 378 - 48
11 u = 330
1 u = 330 ÷ 11 = 30
Amount that Elyse had at first
= 6 u
= 6 x 30
= $180
Amount that Anna had at first
= 378 - 180
= $198
At first
Elyse : Anna
180 : 198
10 : 11
Answer(s): 10 : 11