Tina had 1600 mℓ more orange juice than Hazel. After Tina gave Hazel 440 mℓ of orange juice, the ratio of Tina's orange juice to Hazel's orange juice became 5 : 2. How much orange juice did Tina have at first? Give your answer in millilitres.
|
Tina |
Hazel |
Difference |
Before |
1 u + 1600 |
1 u |
1600 |
Change |
- 440 |
+ 440 |
|
After |
1 u + 1160 |
1 u + 440 |
720 |
Comparing Tina and Hazel in the end |
5 p |
2 p |
3 p |
Volume of orange juice that Tina had in the end
= 1 u + 1600 - 440
= 1 u + 1160
Difference in the volume of orange juice between Tina and Hazel in the end
= 5 p - 2 p
= 3 p
3 p = 1160 - 440
3 p = 720
1 p = 720 ÷ 3 = 240
Volume of orange juice that Tina had at first
= 5 p + 440
= 5 x 240 + 440
= 1200 + 440
= 1640 mℓ
Answer(s): 1640 mℓ