Zara had 2260 mℓ more orange juice than Cindy. After Zara gave Cindy 590 mℓ of orange juice, the ratio of Zara's orange juice to Cindy's orange juice became 5 : 2. How much orange juice did Zara have at first? Give your answer in millilitres.
|
Zara |
Cindy |
Difference |
Before |
1 u + 2260 |
1 u |
2260 |
Change |
- 590 |
+ 590 |
|
After |
1 u + 1670 |
1 u + 590 |
1080 |
Comparing Zara and Cindy in the end |
5 p |
2 p |
3 p |
Volume of orange juice that Zara had in the end
= 1 u + 2260 - 590
= 1 u + 1670
Difference in the volume of orange juice between Zara and Cindy in the end
= 5 p - 2 p
= 3 p
3 p = 1670 - 590
3 p = 1080
1 p = 1080 ÷ 3 = 360
Volume of orange juice that Zara had at first
= 5 p + 590
= 5 x 360 + 590
= 1800 + 590
= 2390 mℓ
Answer(s): 2390 mℓ