Winnie had 2010 mℓ more orange juice than Tiffany. After Winnie gave Tiffany 570 mℓ of orange juice, the ratio of Winnie's orange juice to Tiffany's orange juice became 7 : 4. How much orange juice did Winnie have at first? Give your answer in millilitres.
| |
Winnie |
Tiffany |
Difference |
| Before |
1 u + 2010 |
1 u |
2010 |
| Change |
- 570 |
+ 570 |
|
| After |
1 u + 1440 |
1 u + 570 |
870 |
Comparing Winnie and
Tiffany in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Winnie had in the end
= 1 u + 2010 - 570
= 1 u + 1440
Difference in the volume of orange juice between Winnie and Tiffany in the end
= 7 p - 4 p
= 3 p
3 p = 1440 - 570
3 p = 870
1 p = 870 ÷ 3 = 290
Volume of orange juice that Winnie had at first
= 7 p + 570
= 7 x 290 + 570
= 2030 + 570
= 2600 mℓ
Answer(s): 2600 mℓ
