Gwen had 1880 mℓ more orange juice than Eva. After Gwen gave Eva 420 mℓ of orange juice, the ratio of Gwen's orange juice to Eva's orange juice became 7 : 3. How much orange juice did Gwen have at first? Give your answer in millilitres.
|
Gwen |
Eva |
Difference |
Before |
1 u + 1880 |
1 u |
1880 |
Change |
- 420 |
+ 420 |
|
After |
1 u + 1460 |
1 u + 420 |
1040 |
Comparing Gwen and Eva in the end |
7 p |
3 p |
4 p |
Volume of orange juice that Gwen had in the end
= 1 u + 1880 - 420
= 1 u + 1460
Difference in the volume of orange juice between Gwen and Eva in the end
= 7 p - 3 p
= 4 p
4 p = 1460 - 420
4 p = 1040
1 p = 1040 ÷ 4 = 260
Volume of orange juice that Gwen had at first
= 7 p + 420
= 7 x 260 + 420
= 1820 + 420
= 2240 mℓ
Answer(s): 2240 mℓ