Kylie had 1480 mℓ more juice than Esther. After Kylie gave Esther 440 mℓ of juice, the ratio of Kylie's juice to Esther's juice became 7 : 3. How much juice did Kylie have at first? Give your answer in millilitres.
|
Kylie |
Esther |
Difference |
Before |
1 u + 1480 |
1 u |
1480 |
Change |
- 440 |
+ 440 |
|
After |
1 u + 1040 |
1 u + 440 |
600 |
Comparing Kylie and Esther in the end |
7 p |
3 p |
4 p |
Volume of juice that Kylie had in the end
= 1 u + 1480 - 440
= 1 u + 1040
Difference in the volume of juice between Kylie and Esther in the end
= 7 p - 3 p
= 4 p
4 p = 1040 - 440
4 p = 600
1 p = 600 ÷ 4 = 150
Volume of juice that Kylie had at first
= 7 p + 440
= 7 x 150 + 440
= 1050 + 440
= 1490 mℓ
Answer(s): 1490 mℓ