Kylie had 2020 mℓ more orange juice than Nicole. After Kylie gave Nicole 410 mℓ of orange juice, the ratio of Kylie's orange juice to Nicole's orange juice became 5 : 2. How much orange juice did Kylie have at first? Give your answer in millilitres.
| |
Kylie |
Nicole |
Difference |
| Before |
1 u + 2020 |
1 u |
2020 |
| Change |
- 410 |
+ 410 |
|
| After |
1 u + 1610 |
1 u + 410 |
1200 |
Comparing Kylie and
Nicole in the end |
5 p |
2 p |
3 p |
Volume of orange juice that Kylie had in the end
= 1 u + 2020 - 410
= 1 u + 1610
Difference in the volume of orange juice between Kylie and Nicole in the end
= 5 p - 2 p
= 3 p
3 p = 1610 - 410
3 p = 1200
1 p = 1200 ÷ 3 = 400
Volume of orange juice that Kylie had at first
= 5 p + 410
= 5 x 400 + 410
= 2000 + 410
= 2410 mℓ
Answer(s): 2410 mℓ
