Kylie had 1540 mℓ more soy milk than Sabrina. After Kylie gave Sabrina 470 mℓ of soy milk, the ratio of Kylie's soy milk to Sabrina's soy milk became 5 : 3. How much soy milk did Kylie have at first? Give your answer in millilitres.
| |
Kylie |
Sabrina |
Difference |
| Before |
1 u + 1540 |
1 u |
1540 |
| Change |
- 470 |
+ 470 |
|
| After |
1 u + 1070 |
1 u + 470 |
600 |
Comparing Kylie and
Sabrina in the end |
5 p |
3 p |
2 p |
Volume of soy milk that Kylie had in the end
= 1 u + 1540 - 470
= 1 u + 1070
Difference in the volume of soy milk between Kylie and Sabrina in the end
= 5 p - 3 p
= 2 p
2 p = 1070 - 470
2 p = 600
1 p = 600 ÷ 2 = 300
Volume of soy milk that Kylie had at first
= 5 p + 470
= 5 x 300 + 470
= 1500 + 470
= 1970 mℓ
Answer(s): 1970 mℓ
