Abi had 2090 mℓ more juice than Kylie. After Abi gave Kylie 550 mℓ of juice, the ratio of Abi's juice to Kylie's juice became 7 : 4. How much juice did Abi have at first? Give your answer in millilitres.
|
Abi |
Kylie |
Difference |
Before |
1 u + 2090 |
1 u |
2090 |
Change |
- 550 |
+ 550 |
|
After |
1 u + 1540 |
1 u + 550 |
990 |
Comparing Abi and Kylie in the end |
7 p |
4 p |
3 p |
Volume of juice that Abi had in the end
= 1 u + 2090 - 550
= 1 u + 1540
Difference in the volume of juice between Abi and Kylie in the end
= 7 p - 4 p
= 3 p
3 p = 1540 - 550
3 p = 990
1 p = 990 ÷ 3 = 330
Volume of juice that Abi had at first
= 7 p + 550
= 7 x 330 + 550
= 2310 + 550
= 2860 mℓ
Answer(s): 2860 mℓ