Tina had 1460 mℓ more juice than Eva. After Tina gave Eva 440 mℓ of juice, the ratio of Tina's juice to Eva's juice became 5 : 3. How much juice did Tina have at first? Give your answer in millilitres.
|
Tina |
Eva |
Difference |
Before |
1 u + 1460 |
1 u |
1460 |
Change |
- 440 |
+ 440 |
|
After |
1 u + 1020 |
1 u + 440 |
580 |
Comparing Tina and Eva in the end |
5 p |
3 p |
2 p |
Volume of juice that Tina had in the end
= 1 u + 1460 - 440
= 1 u + 1020
Difference in the volume of juice between Tina and Eva in the end
= 5 p - 3 p
= 2 p
2 p = 1020 - 440
2 p = 580
1 p = 580 ÷ 2 = 290
Volume of juice that Tina had at first
= 5 p + 440
= 5 x 290 + 440
= 1450 + 440
= 1890 mℓ
Answer(s): 1890 mℓ