Anna had 1850 mℓ more soy milk than Natalie. After Anna gave Natalie 460 mℓ of soy milk, the ratio of Anna's soy milk to Natalie's soy milk became 7 : 4. How much soy milk did Anna have at first? Give your answer in millilitres.
|
Anna |
Natalie |
Difference |
Before |
1 u + 1850 |
1 u |
1850 |
Change |
- 460 |
+ 460 |
|
After |
1 u + 1390 |
1 u + 460 |
930 |
Comparing Anna and Natalie in the end |
7 p |
4 p |
3 p |
Volume of soy milk that Anna had in the end
= 1 u + 1850 - 460
= 1 u + 1390
Difference in the volume of soy milk between Anna and Natalie in the end
= 7 p - 4 p
= 3 p
3 p = 1390 - 460
3 p = 930
1 p = 930 ÷ 3 = 310
Volume of soy milk that Anna had at first
= 7 p + 460
= 7 x 310 + 460
= 2170 + 460
= 2630 mℓ
Answer(s): 2630 mℓ