Mary and Hazel went shopping with a total of $697. After Mary spent
45 of her money and Hazel spent $41, the ratio of Hazel's money became 3 times as much as Mary's money. Find the ratio of Mary's money to Hazel's money at first.
| |
Mary |
Hazel |
| Before |
5 u |
3 u + 41 |
| Change |
- 4 u |
- 41 |
| After |
1 u |
|
| Comparing between Mary and Hazel in the end |
1 u |
3 u |
Total amount that Mary and Hazel had at first
= 5 u + 3 u + 41
= 8 u + 41
8 u + 41 = 697
5 u + 4 u = 697 - 41
8 u = 656
1 u = 656 ÷ 8 = 82
Amount that Mary had at first
= 5 u
= 5 x 82
= $410
Amount that Hazel had at first
= 697 - 410
= $287
At first
Mary : Hazel
410 : 287
10 : 7
Answer(s): 10 : 7
