Pamela had 1660 mℓ more coffee than Min. After Pamela gave Min 550 mℓ of coffee, the ratio of Pamela's coffee to Min's coffee became 5 : 3. How much coffee did Pamela have at first? Give your answer in millilitres.
| |
Pamela |
Min |
Difference |
| Before |
1 u + 1660 |
1 u |
1660 |
| Change |
- 550 |
+ 550 |
|
| After |
1 u + 1110 |
1 u + 550 |
560 |
Comparing Pamela and
Min in the end |
5 p |
3 p |
2 p |
Volume of coffee that Pamela had in the end
= 1 u + 1660 - 550
= 1 u + 1110
Difference in the volume of coffee between Pamela and Min in the end
= 5 p - 3 p
= 2 p
2 p = 1110 - 550
2 p = 560
1 p = 560 ÷ 2 = 280
Volume of coffee that Pamela had at first
= 5 p + 550
= 5 x 280 + 550
= 1400 + 550
= 1950 mℓ
Answer(s): 1950 mℓ
