Mary and Xylia went shopping with a total of $299. After Mary spent
56 of her money and Xylia spent $92, the ratio of Xylia's money became 3 times as much as Mary's money. Find the ratio of Mary's money to Xylia's money at first.
| |
Mary |
Xylia |
| Before |
6 u |
3 u + 92 |
| Change |
- 5 u |
- 92 |
| After |
1 u |
|
| Comparing between Mary and Xylia in the end |
1 u |
3 u |
Total amount that Mary and Xylia had at first
= 6 u + 3 u + 92
= 9 u + 92
9 u + 92 = 299
6 u + 5 u = 299 - 92
9 u = 207
1 u = 207 ÷ 9 = 23
Amount that Mary had at first
= 6 u
= 6 x 23
= $138
Amount that Xylia had at first
= 299 - 138
= $161
At first
Mary : Xylia
138 : 161
6 : 7
Answer(s): 6 : 7
