Fiona had 1470 mℓ more juice than Elyse. After Fiona gave Elyse 510 mℓ of juice, the ratio of Fiona's juice to Elyse's juice became 7 : 4. How much juice did Fiona have at first? Give your answer in millilitres.
| |
Fiona |
Elyse |
Difference |
| Before |
1 u + 1470 |
1 u |
1470 |
| Change |
- 510 |
+ 510 |
|
| After |
1 u + 960 |
1 u + 510 |
450 |
Comparing Fiona and
Elyse in the end |
7 p |
4 p |
3 p |
Volume of juice that Fiona had in the end
= 1 u + 1470 - 510
= 1 u + 960
Difference in the volume of juice between Fiona and Elyse in the end
= 7 p - 4 p
= 3 p
3 p = 960 - 510
3 p = 450
1 p = 450 ÷ 3 = 150
Volume of juice that Fiona had at first
= 7 p + 510
= 7 x 150 + 510
= 1050 + 510
= 1560 mℓ
Answer(s): 1560 mℓ
