Jane had 1290 mℓ more orange juice than Raeann. After Jane gave Raeann 450 mℓ of orange juice, the ratio of Jane's orange juice to Raeann's orange juice became 7 : 4. How much orange juice did Jane have at first? Give your answer in millilitres.
|
Jane |
Raeann |
Difference |
Before |
1 u + 1290 |
1 u |
1290 |
Change |
- 450 |
+ 450 |
|
After |
1 u + 840 |
1 u + 450 |
390 |
Comparing Jane and Raeann in the end |
7 p |
4 p |
3 p |
Volume of orange juice that Jane had in the end
= 1 u + 1290 - 450
= 1 u + 840
Difference in the volume of orange juice between Jane and Raeann in the end
= 7 p - 4 p
= 3 p
3 p = 840 - 450
3 p = 390
1 p = 390 ÷ 3 = 130
Volume of orange juice that Jane had at first
= 7 p + 450
= 7 x 130 + 450
= 910 + 450
= 1360 mℓ
Answer(s): 1360 mℓ