Anna had 1860 mℓ more orange juice than Jade. After Anna gave Jade 420 mℓ of orange juice, the ratio of Anna's orange juice to Jade's orange juice became 5 : 2. How much orange juice did Anna have at first? Give your answer in millilitres.
|
Anna |
Jade |
Difference |
Before |
1 u + 1860 |
1 u |
1860 |
Change |
- 420 |
+ 420 |
|
After |
1 u + 1440 |
1 u + 420 |
1020 |
Comparing Anna and Jade in the end |
5 p |
2 p |
3 p |
Volume of orange juice that Anna had in the end
= 1 u + 1860 - 420
= 1 u + 1440
Difference in the volume of orange juice between Anna and Jade in the end
= 5 p - 2 p
= 3 p
3 p = 1440 - 420
3 p = 1020
1 p = 1020 ÷ 3 = 340
Volume of orange juice that Anna had at first
= 5 p + 420
= 5 x 340 + 420
= 1700 + 420
= 2120 mℓ
Answer(s): 2120 mℓ