Jade and Barbara went shopping with a total of $693. After Jade spent
45 of her money and Barbara spent $99, the ratio of Barbara's money became 4 times as much as Jade's money. Find the ratio of Jade's money to Barbara's money at first.
| |
Jade |
Barbara |
| Before |
5 u |
4 u + 99 |
| Change |
- 4 u |
- 99 |
| After |
1 u |
|
| Comparing between Jade and Barbara in the end |
1 u |
4 u |
Total amount that Jade and Barbara had at first
= 5 u + 4 u + 99
= 9 u + 99
9 u + 99 = 693
5 u + 4 u = 693 - 99
9 u = 594
1 u = 594 ÷ 9 = 66
Amount that Jade had at first
= 5 u
= 5 x 66
= $330
Amount that Barbara had at first
= 693 - 330
= $363
At first
Jade : Barbara
330 : 363
10 : 11
Answer(s): 10 : 11
