Emma had 1300 mℓ more juice than Fanny. After Emma gave Fanny 450 mℓ of juice, the ratio of Emma's juice to Fanny's juice became 5 : 3. How much juice did Emma have at first? Give your answer in millilitres.
| |
Emma |
Fanny |
Difference |
| Before |
1 u + 1300 |
1 u |
1300 |
| Change |
- 450 |
+ 450 |
|
| After |
1 u + 850 |
1 u + 450 |
400 |
Comparing Emma and
Fanny in the end |
5 p |
3 p |
2 p |
Volume of juice that Emma had in the end
= 1 u + 1300 - 450
= 1 u + 850
Difference in the volume of juice between Emma and Fanny in the end
= 5 p - 3 p
= 2 p
2 p = 850 - 450
2 p = 400
1 p = 400 ÷ 2 = 200
Volume of juice that Emma had at first
= 5 p + 450
= 5 x 200 + 450
= 1000 + 450
= 1450 mℓ
Answer(s): 1450 mℓ
