Rachel and Kathy went shopping with a total of $350. After Rachel spent
56 of her money and Kathy spent $98, the ratio of Kathy's money became 3 times as much as Rachel's money. Find the ratio of Rachel's money to Kathy's money at first.
|
Rachel |
Kathy |
Before |
6 u |
3 u + 98 |
Change |
- 5 u |
- 98 |
After |
1 u |
|
Comparing between Rachel and Kathy in the end |
1 u |
3 u |
Total amount that Rachel and Kathy had at first
= 6 u + 3 u + 98
= 9 u + 98
9 u + 98 = 350
6 u + 5 u = 350 - 98
9 u = 252
1 u = 252 ÷ 9 = 28
Amount that Rachel had at first
= 6 u
= 6 x 28
= $168
Amount that Kathy had at first
= 350 - 168
= $182
At first
Rachel : Kathy
168 : 182
12 : 13
Answer(s): 12 : 13