Jen had 1680 mℓ more soy milk than Marion. After Jen gave Marion 580 mℓ of soy milk, the ratio of Jen's soy milk to Marion's soy milk became 5 : 3. How much soy milk did Jen have at first? Give your answer in millilitres.
| |
Jen |
Marion |
Difference |
| Before |
1 u + 1680 |
1 u |
1680 |
| Change |
- 580 |
+ 580 |
|
| After |
1 u + 1100 |
1 u + 580 |
520 |
Comparing Jen and
Marion in the end |
5 p |
3 p |
2 p |
Volume of soy milk that Jen had in the end
= 1 u + 1680 - 580
= 1 u + 1100
Difference in the volume of soy milk between Jen and Marion in the end
= 5 p - 3 p
= 2 p
2 p = 1100 - 580
2 p = 520
1 p = 520 ÷ 2 = 260
Volume of soy milk that Jen had at first
= 5 p + 580
= 5 x 260 + 580
= 1300 + 580
= 1880 mℓ
Answer(s): 1880 mℓ
