Winnie had 1490 mℓ more orange juice than Dana. After Winnie gave Dana 400 mℓ of orange juice, the ratio of Winnie's orange juice to Dana's orange juice became 5 : 2. How much orange juice did Winnie have at first? Give your answer in millilitres.
| |
Winnie |
Dana |
Difference |
| Before |
1 u + 1490 |
1 u |
1490 |
| Change |
- 400 |
+ 400 |
|
| After |
1 u + 1090 |
1 u + 400 |
690 |
Comparing Winnie and
Dana in the end |
5 p |
2 p |
3 p |
Volume of orange juice that Winnie had in the end
= 1 u + 1490 - 400
= 1 u + 1090
Difference in the volume of orange juice between Winnie and Dana in the end
= 5 p - 2 p
= 3 p
3 p = 1090 - 400
3 p = 690
1 p = 690 ÷ 3 = 230
Volume of orange juice that Winnie had at first
= 5 p + 400
= 5 x 230 + 400
= 1150 + 400
= 1550 mℓ
Answer(s): 1550 mℓ
