Kimberly had 1900 mℓ more orange juice than Jean. After Kimberly gave Jean 600 mℓ of orange juice, the ratio of Kimberly's orange juice to Jean's orange juice became 5 : 3. How much orange juice did Kimberly have at first? Give your answer in millilitres.
| |
Kimberly |
Jean |
Difference |
| Before |
1 u + 1900 |
1 u |
1900 |
| Change |
- 600 |
+ 600 |
|
| After |
1 u + 1300 |
1 u + 600 |
700 |
Comparing Kimberly and
Jean in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Kimberly had in the end
= 1 u + 1900 - 600
= 1 u + 1300
Difference in the volume of orange juice between Kimberly and Jean in the end
= 5 p - 3 p
= 2 p
2 p = 1300 - 600
2 p = 700
1 p = 700 ÷ 2 = 350
Volume of orange juice that Kimberly had at first
= 5 p + 600
= 5 x 350 + 600
= 1750 + 600
= 2350 mℓ
Answer(s): 2350 mℓ
