Emily and Roshel went shopping with a total of $260. After Emily spent
45 of her money and Roshel spent $52, the ratio of Roshel's money became 3 times as much as Emily's money. Find the ratio of Emily's money to Roshel's money at first.
| |
Emily |
Roshel |
| Before |
5 u |
3 u + 52 |
| Change |
- 4 u |
- 52 |
| After |
1 u |
|
| Comparing between Emily and Roshel in the end |
1 u |
3 u |
Total amount that Emily and Roshel had at first
= 5 u + 3 u + 52
= 8 u + 52
8 u + 52 = 260
5 u + 4 u = 260 - 52
8 u = 208
1 u = 208 ÷ 8 = 26
Amount that Emily had at first
= 5 u
= 5 x 26
= $130
Amount that Roshel had at first
= 260 - 130
= $130
At first
Emily : Roshel
130 : 130
1 : 1
Answer(s): 1 : 1
