Pamela and Mary went shopping with a total of $400. After Pamela spent
34 of her money and Mary spent $40, the ratio of Mary's money became 5 times as much as Pamela's money. Find the ratio of Pamela's money to Mary's money at first.
| |
Pamela |
Mary |
| Before |
4 u |
5 u + 40 |
| Change |
- 3 u |
- 40 |
| After |
1 u |
|
| Comparing between Pamela and Mary in the end |
1 u |
5 u |
Total amount that Pamela and Mary had at first
= 4 u + 5 u + 40
= 9 u + 40
9 u + 40 = 400
4 u + 3 u = 400 - 40
9 u = 360
1 u = 360 ÷ 9 = 40
Amount that Pamela had at first
= 4 u
= 4 x 40
= $160
Amount that Mary had at first
= 400 - 160
= $240
At first
Pamela : Mary
160 : 240
2 : 3
Answer(s): 2 : 3
