Zara had 1710 mℓ more orange juice than Sabrina. After Zara gave Sabrina 450 mℓ of orange juice, the ratio of Zara's orange juice to Sabrina's orange juice became 7 : 4. How much orange juice did Zara have at first? Give your answer in millilitres.
|
Zara |
Sabrina |
Difference |
Before |
1 u + 1710 |
1 u |
1710 |
Change |
- 450 |
+ 450 |
|
After |
1 u + 1260 |
1 u + 450 |
810 |
Comparing Zara and Sabrina in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Zara had in the end
= 1 u + 1710 - 450
= 1 u + 1260
Difference in the volume of orange juice between Zara and Sabrina in the end
= 7 p - 4 p
= 3 p
3 p = 1260 - 450
3 p = 810
1 p = 810 ÷ 3 = 270
Volume of orange juice that Zara had at first
= 7 p + 450
= 7 x 270 + 450
= 1890 + 450
= 2340 mℓ
Answer(s): 2340 mℓ