Emma had 1760 mℓ more coffee than Gem. After Emma gave Gem 400 mℓ of coffee, the ratio of Emma's coffee to Gem's coffee became 5 : 2. How much coffee did Emma have at first? Give your answer in millilitres.
| |
Emma |
Gem |
Difference |
| Before |
1 u + 1760 |
1 u |
1760 |
| Change |
- 400 |
+ 400 |
|
| After |
1 u + 1360 |
1 u + 400 |
960 |
Comparing Emma and
Gem in the end |
5 p |
2 p |
3 p |
Volume of coffee that Emma had in the end
= 1 u + 1760 - 400
= 1 u + 1360
Difference in the volume of coffee between Emma and Gem in the end
= 5 p - 2 p
= 3 p
3 p = 1360 - 400
3 p = 960
1 p = 960 ÷ 3 = 320
Volume of coffee that Emma had at first
= 5 p + 400
= 5 x 320 + 400
= 1600 + 400
= 2000 mℓ
Answer(s): 2000 mℓ
