Tina and Mary went shopping with a total of $425. After Tina spent
45 of her money and Mary spent $25, the ratio of Mary's money became 5 times as much as Tina's money. Find the ratio of Tina's money to Mary's money at first.
|
Tina |
Mary |
Before |
5 u |
5 u + 25 |
Change |
- 4 u |
- 25 |
After |
1 u |
|
Comparing between Tina and Mary in the end |
1 u |
5 u |
Total amount that Tina and Mary had at first
= 5 u + 5 u + 25
= 10 u + 25
10 u + 25 = 425
5 u + 4 u = 425 - 25
10 u = 400
1 u = 400 ÷ 10 = 40
Amount that Tina had at first
= 5 u
= 5 x 40
= $200
Amount that Mary had at first
= 425 - 200
= $225
At first
Tina : Mary
200 : 225
8 : 9
Answer(s): 8 : 9