Olivia had 1640 mℓ more juice than Zara. After Olivia gave Zara 460 mℓ of juice, the ratio of Olivia's juice to Zara's juice became 7 : 3. How much juice did Olivia have at first? Give your answer in millilitres.
|
Olivia |
Zara |
Difference |
Before |
1 u + 1640 |
1 u |
1640 |
Change |
- 460 |
+ 460 |
|
After |
1 u + 1180 |
1 u + 460 |
720 |
Comparing Olivia and Zara in the end |
7 p |
3 p |
4 p |
Volume of juice that Olivia had in the end
= 1 u + 1640 - 460
= 1 u + 1180
Difference in the volume of juice between Olivia and Zara in the end
= 7 p - 3 p
= 4 p
4 p = 1180 - 460
4 p = 720
1 p = 720 ÷ 4 = 180
Volume of juice that Olivia had at first
= 7 p + 460
= 7 x 180 + 460
= 1260 + 460
= 1720 mℓ
Answer(s): 1720 mℓ