Jean had 2060 mℓ more orange juice than Emily. After Jean gave Emily 520 mℓ of orange juice, the ratio of Jean's orange juice to Emily's orange juice became 7 : 4. How much orange juice did Jean have at first? Give your answer in millilitres.
|
Jean |
Emily |
Difference |
Before |
1 u + 2060 |
1 u |
2060 |
Change |
- 520 |
+ 520 |
|
After |
1 u + 1540 |
1 u + 520 |
1020 |
Comparing Jean and Emily in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Jean had in the end
= 1 u + 2060 - 520
= 1 u + 1540
Difference in the volume of orange juice between Jean and Emily in the end
= 7 p - 4 p
= 3 p
3 p = 1540 - 520
3 p = 1020
1 p = 1020 ÷ 3 = 340
Volume of orange juice that Jean had at first
= 7 p + 520
= 7 x 340 + 520
= 2380 + 520
= 2900 mℓ
Answer(s): 2900 mℓ