Zara and Olivia went shopping with a total of $972. After Zara spent
56 of her money and Olivia spent $81, the ratio of Olivia's money became 5 times as much as Zara's money. Find the ratio of Zara's money to Olivia's money at first.
|
Zara |
Olivia |
Before |
6 u |
5 u + 81 |
Change |
- 5 u |
- 81 |
After |
1 u |
|
Comparing between Zara and Olivia in the end |
1 u |
5 u |
Total amount that Zara and Olivia had at first
= 6 u + 5 u + 81
= 11 u + 81
11 u + 81 = 972
6 u + 5 u = 972 - 81
11 u = 891
1 u = 891 ÷ 11 = 81
Amount that Zara had at first
= 6 u
= 6 x 81
= $486
Amount that Olivia had at first
= 972 - 486
= $486
At first
Zara : Olivia
486 : 486
1 : 1
Answer(s): 1 : 1