Zara and Raeann went shopping with a total of $310. After Zara spent
45 of her money and Raeann spent $70, the ratio of Raeann's money became 5 times as much as Zara's money. Find the ratio of Zara's money to Raeann's money at first.
| |
Zara |
Raeann |
| Before |
5 u |
5 u + 70 |
| Change |
- 4 u |
- 70 |
| After |
1 u |
|
| Comparing between Zara and Raeann in the end |
1 u |
5 u |
Total amount that Zara and Raeann had at first
= 5 u + 5 u + 70
= 10 u + 70
10 u + 70 = 310
5 u + 4 u = 310 - 70
10 u = 240
1 u = 240 ÷ 10 = 24
Amount that Zara had at first
= 5 u
= 5 x 24
= $120
Amount that Raeann had at first
= 310 - 120
= $190
At first
Zara : Raeann
120 : 190
12 : 19
Answer(s): 12 : 19
