Marion had 1620 mℓ more juice than Tina. After Marion gave Tina 540 mℓ of juice, the ratio of Marion's juice to Tina's juice became 7 : 4. How much juice did Marion have at first? Give your answer in millilitres.
| |
Marion |
Tina |
Difference |
| Before |
1 u + 1620 |
1 u |
1620 |
| Change |
- 540 |
+ 540 |
|
| After |
1 u + 1080 |
1 u + 540 |
540 |
Comparing Marion and
Tina in the end |
7 p |
4 p |
3 p |
Volume of juice that Marion had in the end
= 1 u + 1620 - 540
= 1 u + 1080
Difference in the volume of juice between Marion and Tina in the end
= 7 p - 4 p
= 3 p
3 p = 1080 - 540
3 p = 540
1 p = 540 ÷ 3 = 180
Volume of juice that Marion had at first
= 7 p + 540
= 7 x 180 + 540
= 1260 + 540
= 1800 mℓ
Answer(s): 1800 mℓ
