Jane had 1430 mℓ more juice than Hilda. After Jane gave Hilda 430 mℓ of juice, the ratio of Jane's juice to Hilda's juice became 7 : 4. How much juice did Jane have at first? Give your answer in millilitres.
|
Jane |
Hilda |
Difference |
Before |
1 u + 1430 |
1 u |
1430 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 1000 |
1 u + 430 |
570 |
Comparing Jane and Hilda in the end |
7 p |
4 p |
3 p |
Volume of juice that Jane had in the end
= 1 u + 1430 - 430
= 1 u + 1000
Difference in the volume of juice between Jane and Hilda in the end
= 7 p - 4 p
= 3 p
3 p = 1000 - 430
3 p = 570
1 p = 570 ÷ 3 = 190
Volume of juice that Jane had at first
= 7 p + 430
= 7 x 190 + 430
= 1330 + 430
= 1760 mℓ
Answer(s): 1760 mℓ