Kathy had 2000 mℓ more juice than Kylie. After Kathy gave Kylie 440 mℓ of juice, the ratio of Kathy's juice to Kylie's juice became 7 : 3. How much juice did Kathy have at first? Give your answer in millilitres.
|
Kathy |
Kylie |
Difference |
Before |
1 u + 2000 |
1 u |
2000 |
Change |
- 440 |
+ 440 |
|
After |
1 u + 1560 |
1 u + 440 |
1120 |
Comparing Kathy and Kylie in the end |
7 p |
3 p |
4 p |
Volume of juice that Kathy had in the end
= 1 u + 2000 - 440
= 1 u + 1560
Difference in the volume of juice between Kathy and Kylie in the end
= 7 p - 3 p
= 4 p
4 p = 1560 - 440
4 p = 1120
1 p = 1120 ÷ 4 = 280
Volume of juice that Kathy had at first
= 7 p + 440
= 7 x 280 + 440
= 1960 + 440
= 2400 mℓ
Answer(s): 2400 mℓ