Jane had 2260 mℓ more juice than Anna. After Jane gave Anna 570 mℓ of juice, the ratio of Jane's juice to Anna's juice became 7 : 3. How much juice did Jane have at first? Give your answer in millilitres.
| |
Jane |
Anna |
Difference |
| Before |
1 u + 2260 |
1 u |
2260 |
| Change |
- 570 |
+ 570 |
|
| After |
1 u + 1690 |
1 u + 570 |
1120 |
Comparing Jane and
Anna in the end |
7 p |
3 p |
4 p |
Volume of juice that Jane had in the end
= 1 u + 2260 - 570
= 1 u + 1690
Difference in the volume of juice between Jane and Anna in the end
= 7 p - 3 p
= 4 p
4 p = 1690 - 570
4 p = 1120
1 p = 1120 ÷ 4 = 280
Volume of juice that Jane had at first
= 7 p + 570
= 7 x 280 + 570
= 1960 + 570
= 2530 mℓ
Answer(s): 2530 mℓ
