Gabby had 2070 mℓ more soy milk than Lynn. After Gabby gave Lynn 540 mℓ of soy milk, the ratio of Gabby's soy milk to Lynn's soy milk became 5 : 2. How much soy milk did Gabby have at first? Give your answer in millilitres.
| |
Gabby |
Lynn |
Difference |
| Before |
1 u + 2070 |
1 u |
2070 |
| Change |
- 540 |
+ 540 |
|
| After |
1 u + 1530 |
1 u + 540 |
990 |
Comparing Gabby and
Lynn in the end |
5 p |
2 p |
3 p |
Volume of soy milk that Gabby had in the end
= 1 u + 2070 - 540
= 1 u + 1530
Difference in the volume of soy milk between Gabby and Lynn in the end
= 5 p - 2 p
= 3 p
3 p = 1530 - 540
3 p = 990
1 p = 990 ÷ 3 = 330
Volume of soy milk that Gabby had at first
= 5 p + 540
= 5 x 330 + 540
= 1650 + 540
= 2190 mℓ
Answer(s): 2190 mℓ
