Diana had 1960 mℓ more soy milk than Yoko. After Diana gave Yoko 580 mℓ of soy milk, the ratio of Diana's soy milk to Yoko's soy milk became 5 : 3. How much soy milk did Diana have at first? Give your answer in millilitres.
| |
Diana |
Yoko |
Difference |
| Before |
1 u + 1960 |
1 u |
1960 |
| Change |
- 580 |
+ 580 |
|
| After |
1 u + 1380 |
1 u + 580 |
800 |
Comparing Diana and
Yoko in the end |
5 p |
3 p |
2 p |
Volume of soy milk that Diana had in the end
= 1 u + 1960 - 580
= 1 u + 1380
Difference in the volume of soy milk between Diana and Yoko in the end
= 5 p - 3 p
= 2 p
2 p = 1380 - 580
2 p = 800
1 p = 800 ÷ 2 = 400
Volume of soy milk that Diana had at first
= 5 p + 580
= 5 x 400 + 580
= 2000 + 580
= 2580 mℓ
Answer(s): 2580 mℓ
