Kylie had 1160 mℓ more orange juice than Gwen. After Kylie gave Gwen 430 mℓ of orange juice, the ratio of Kylie's orange juice to Gwen's orange juice became 5 : 3. How much orange juice did Kylie have at first? Give your answer in millilitres.
|
Kylie |
Gwen |
Difference |
Before |
1 u + 1160 |
1 u |
1160 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 730 |
1 u + 430 |
300 |
Comparing Kylie and Gwen in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Kylie had in the end
= 1 u + 1160 - 430
= 1 u + 730
Difference in the volume of orange juice between Kylie and Gwen in the end
= 5 p - 3 p
= 2 p
2 p = 730 - 430
2 p = 300
1 p = 300 ÷ 2 = 150
Volume of orange juice that Kylie had at first
= 5 p + 430
= 5 x 150 + 430
= 750 + 430
= 1180 mℓ
Answer(s): 1180 mℓ