Rachel and Jean went shopping with a total of $805. After Rachel spent
34 of her money and Jean spent $69, the ratio of Jean's money became 4 times as much as Rachel's money. Find the ratio of Rachel's money to Jean's money at first.
| |
Rachel |
Jean |
| Before |
4 u |
4 u + 69 |
| Change |
- 3 u |
- 69 |
| After |
1 u |
|
| Comparing between Rachel and Jean in the end |
1 u |
4 u |
Total amount that Rachel and Jean had at first
= 4 u + 4 u + 69
= 8 u + 69
8 u + 69 = 805
4 u + 3 u = 805 - 69
8 u = 736
1 u = 736 ÷ 8 = 92
Amount that Rachel had at first
= 4 u
= 4 x 92
= $368
Amount that Jean had at first
= 805 - 368
= $437
At first
Rachel : Jean
368 : 437
16 : 19
Answer(s): 16 : 19
