Mary and Zara went shopping with a total of $672. After Mary spent
34 of her money and Zara spent $78, the ratio of Zara's money became 5 times as much as Mary's money. Find the ratio of Mary's money to Zara's money at first.
| |
Mary |
Zara |
| Before |
4 u |
5 u + 78 |
| Change |
- 3 u |
- 78 |
| After |
1 u |
|
| Comparing between Mary and Zara in the end |
1 u |
5 u |
Total amount that Mary and Zara had at first
= 4 u + 5 u + 78
= 9 u + 78
9 u + 78 = 672
4 u + 3 u = 672 - 78
9 u = 594
1 u = 594 ÷ 9 = 66
Amount that Mary had at first
= 4 u
= 4 x 66
= $264
Amount that Zara had at first
= 672 - 264
= $408
At first
Mary : Zara
264 : 408
11 : 17
Answer(s): 11 : 17
