Fiona had 1970 mℓ more orange juice than Hilda. After Fiona gave Hilda 430 mℓ of orange juice, the ratio of Fiona's orange juice to Hilda's orange juice became 7 : 4. How much orange juice did Fiona have at first? Give your answer in millilitres.
|
Fiona |
Hilda |
Difference |
Before |
1 u + 1970 |
1 u |
1970 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 1540 |
1 u + 430 |
1110 |
Comparing Fiona and Hilda in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Fiona had in the end
= 1 u + 1970 - 430
= 1 u + 1540
Difference in the volume of orange juice between Fiona and Hilda in the end
= 7 p - 4 p
= 3 p
3 p = 1540 - 430
3 p = 1110
1 p = 1110 ÷ 3 = 370
Volume of orange juice that Fiona had at first
= 7 p + 430
= 7 x 370 + 430
= 2590 + 430
= 3020 mℓ
Answer(s): 3020 mℓ