Jean had 1300 mℓ more orange juice than Irene. After Jean gave Irene 410 mℓ of orange juice, the ratio of Jean's orange juice to Irene's orange juice became 5 : 3. How much orange juice did Jean have at first? Give your answer in millilitres.
| |
Jean |
Irene |
Difference |
| Before |
1 u + 1300 |
1 u |
1300 |
| Change |
- 410 |
+ 410 |
|
| After |
1 u + 890 |
1 u + 410 |
480 |
Comparing Jean and
Irene in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Jean had in the end
= 1 u + 1300 - 410
= 1 u + 890
Difference in the volume of orange juice between Jean and Irene in the end
= 5 p - 3 p
= 2 p
2 p = 890 - 410
2 p = 480
1 p = 480 ÷ 2 = 240
Volume of orange juice that Jean had at first
= 5 p + 410
= 5 x 240 + 410
= 1200 + 410
= 1610 mℓ
Answer(s): 1610 mℓ
