Lynn had 1870 mℓ more orange juice than Wendy. After Lynn gave Wendy 530 mℓ of orange juice, the ratio of Lynn's orange juice to Wendy's orange juice became 5 : 2. How much orange juice did Lynn have at first? Give your answer in millilitres.
| |
Lynn |
Wendy |
Difference |
| Before |
1 u + 1870 |
1 u |
1870 |
| Change |
- 530 |
+ 530 |
|
| After |
1 u + 1340 |
1 u + 530 |
810 |
Comparing Lynn and
Wendy in the end |
5 p |
2 p |
3 p |
Volume of orange juice that Lynn had in the end
= 1 u + 1870 - 530
= 1 u + 1340
Difference in the volume of orange juice between Lynn and Wendy in the end
= 5 p - 2 p
= 3 p
3 p = 1340 - 530
3 p = 810
1 p = 810 ÷ 3 = 270
Volume of orange juice that Lynn had at first
= 5 p + 530
= 5 x 270 + 530
= 1350 + 530
= 1880 mℓ
Answer(s): 1880 mℓ
