Diana had 1840 mℓ more orange juice than Raeann. After Diana gave Raeann 570 mℓ of orange juice, the ratio of Diana's orange juice to Raeann's orange juice became 5 : 3. How much orange juice did Diana have at first? Give your answer in millilitres.
| |
Diana |
Raeann |
Difference |
| Before |
1 u + 1840 |
1 u |
1840 |
| Change |
- 570 |
+ 570 |
|
| After |
1 u + 1270 |
1 u + 570 |
700 |
Comparing Diana and
Raeann in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Diana had in the end
= 1 u + 1840 - 570
= 1 u + 1270
Difference in the volume of orange juice between Diana and Raeann in the end
= 5 p - 3 p
= 2 p
2 p = 1270 - 570
2 p = 700
1 p = 700 ÷ 2 = 350
Volume of orange juice that Diana had at first
= 5 p + 570
= 5 x 350 + 570
= 1750 + 570
= 2320 mℓ
Answer(s): 2320 mℓ
