Fiona had 1460 mℓ more orange juice than Abi. After Fiona gave Abi 500 mℓ of orange juice, the ratio of Fiona's orange juice to Abi's orange juice became 5 : 3. How much orange juice did Fiona have at first? Give your answer in millilitres.
| |
Fiona |
Abi |
Difference |
| Before |
1 u + 1460 |
1 u |
1460 |
| Change |
- 500 |
+ 500 |
|
| After |
1 u + 960 |
1 u + 500 |
460 |
Comparing Fiona and
Abi in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Fiona had in the end
= 1 u + 1460 - 500
= 1 u + 960
Difference in the volume of orange juice between Fiona and Abi in the end
= 5 p - 3 p
= 2 p
2 p = 960 - 500
2 p = 460
1 p = 460 ÷ 2 = 230
Volume of orange juice that Fiona had at first
= 5 p + 500
= 5 x 230 + 500
= 1150 + 500
= 1650 mℓ
Answer(s): 1650 mℓ
