Nora had 1980 mℓ more orange juice than Tiffany. After Nora gave Tiffany 470 mℓ of orange juice, the ratio of Nora's orange juice to Tiffany's orange juice became 7 : 3. How much orange juice did Nora have at first? Give your answer in millilitres.
|
Nora |
Tiffany |
Difference |
Before |
1 u + 1980 |
1 u |
1980 |
Change |
- 470 |
+ 470 |
|
After |
1 u + 1510 |
1 u + 470 |
1040 |
Comparing Nora and Tiffany in the end |
7 p |
3 p |
4 p |
Volume of orange juice that Nora had in the end
= 1 u + 1980 - 470
= 1 u + 1510
Difference in the volume of orange juice between Nora and Tiffany in the end
= 7 p - 3 p
= 4 p
4 p = 1510 - 470
4 p = 1040
1 p = 1040 ÷ 4 = 260
Volume of orange juice that Nora had at first
= 7 p + 470
= 7 x 260 + 470
= 1820 + 470
= 2290 mℓ
Answer(s): 2290 mℓ