Mary and Hilda went shopping with a total of $480. After Mary spent
45 of her money and Hilda spent $32, the ratio of Hilda's money became 3 times as much as Mary's money. Find the ratio of Mary's money to Hilda's money at first.
| |
Mary |
Hilda |
| Before |
5 u |
3 u + 32 |
| Change |
- 4 u |
- 32 |
| After |
1 u |
|
| Comparing between Mary and Hilda in the end |
1 u |
3 u |
Total amount that Mary and Hilda had at first
= 5 u + 3 u + 32
= 8 u + 32
8 u + 32 = 480
5 u + 4 u = 480 - 32
8 u = 448
1 u = 448 ÷ 8 = 56
Amount that Mary had at first
= 5 u
= 5 x 56
= $280
Amount that Hilda had at first
= 480 - 280
= $200
At first
Mary : Hilda
280 : 200
7 : 5
Answer(s): 7 : 5
