Nicole had 1880 mℓ more orange juice than Fiona. After Nicole gave Fiona 580 mℓ of orange juice, the ratio of Nicole's orange juice to Fiona's orange juice became 5 : 3. How much orange juice did Nicole have at first? Give your answer in millilitres.
| |
Nicole |
Fiona |
Difference |
| Before |
1 u + 1880 |
1 u |
1880 |
| Change |
- 580 |
+ 580 |
|
| After |
1 u + 1300 |
1 u + 580 |
720 |
Comparing Nicole and
Fiona in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Nicole had in the end
= 1 u + 1880 - 580
= 1 u + 1300
Difference in the volume of orange juice between Nicole and Fiona in the end
= 5 p - 3 p
= 2 p
2 p = 1300 - 580
2 p = 720
1 p = 720 ÷ 2 = 360
Volume of orange juice that Nicole had at first
= 5 p + 580
= 5 x 360 + 580
= 1800 + 580
= 2380 mℓ
Answer(s): 2380 mℓ
