Rachel had 1400 mℓ more soy milk than Emily. After Rachel gave Emily 450 mℓ of soy milk, the ratio of Rachel's soy milk to Emily's soy milk became 5 : 3. How much soy milk did Rachel have at first? Give your answer in millilitres.
| |
Rachel |
Emily |
Difference |
| Before |
1 u + 1400 |
1 u |
1400 |
| Change |
- 450 |
+ 450 |
|
| After |
1 u + 950 |
1 u + 450 |
500 |
Comparing Rachel and
Emily in the end |
5 p |
3 p |
2 p |
Volume of soy milk that Rachel had in the end
= 1 u + 1400 - 450
= 1 u + 950
Difference in the volume of soy milk between Rachel and Emily in the end
= 5 p - 3 p
= 2 p
2 p = 950 - 450
2 p = 500
1 p = 500 ÷ 2 = 250
Volume of soy milk that Rachel had at first
= 5 p + 450
= 5 x 250 + 450
= 1250 + 450
= 1700 mℓ
Answer(s): 1700 mℓ
