Tammy and Dana went shopping with a total of $1176. After Tammy spent
56 of her money and Dana spent $98, the ratio of Dana's money became 5 times as much as Tammy's money. Find the ratio of Tammy's money to Dana's money at first.
|
Tammy |
Dana |
Before |
6 u |
5 u + 98 |
Change |
- 5 u |
- 98 |
After |
1 u |
|
Comparing between Tammy and Dana in the end |
1 u |
5 u |
Total amount that Tammy and Dana had at first
= 6 u + 5 u + 98
= 11 u + 98
11 u + 98 = 1176
6 u + 5 u = 1176 - 98
11 u = 1078
1 u = 1078 ÷ 11 = 98
Amount that Tammy had at first
= 6 u
= 6 x 98
= $588
Amount that Dana had at first
= 1176 - 588
= $588
At first
Tammy : Dana
588 : 588
1 : 1
Answer(s): 1 : 1