Jaslyn had 1420 mℓ more soy milk than Jen. After Jaslyn gave Jen 400 mℓ of soy milk, the ratio of Jaslyn's soy milk to Jen's soy milk became 5 : 3. How much soy milk did Jaslyn have at first? Give your answer in millilitres.
| |
Jaslyn |
Jen |
Difference |
| Before |
1 u + 1420 |
1 u |
1420 |
| Change |
- 400 |
+ 400 |
|
| After |
1 u + 1020 |
1 u + 400 |
620 |
Comparing Jaslyn and
Jen in the end |
5 p |
3 p |
2 p |
Volume of soy milk that Jaslyn had in the end
= 1 u + 1420 - 400
= 1 u + 1020
Difference in the volume of soy milk between Jaslyn and Jen in the end
= 5 p - 3 p
= 2 p
2 p = 1020 - 400
2 p = 620
1 p = 620 ÷ 2 = 310
Volume of soy milk that Jaslyn had at first
= 5 p + 400
= 5 x 310 + 400
= 1550 + 400
= 1950 mℓ
Answer(s): 1950 mℓ
