Dana had 1700 mℓ more orange juice than Nora. After Dana gave Nora 470 mℓ of orange juice, the ratio of Dana's orange juice to Nora's orange juice became 5 : 3. How much orange juice did Dana have at first? Give your answer in millilitres.
| |
Dana |
Nora |
Difference |
| Before |
1 u + 1700 |
1 u |
1700 |
| Change |
- 470 |
+ 470 |
|
| After |
1 u + 1230 |
1 u + 470 |
760 |
Comparing Dana and
Nora in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Dana had in the end
= 1 u + 1700 - 470
= 1 u + 1230
Difference in the volume of orange juice between Dana and Nora in the end
= 5 p - 3 p
= 2 p
2 p = 1230 - 470
2 p = 760
1 p = 760 ÷ 2 = 380
Volume of orange juice that Dana had at first
= 5 p + 470
= 5 x 380 + 470
= 1900 + 470
= 2370 mℓ
Answer(s): 2370 mℓ
