Yoko had 1350 mℓ more coffee than Fiona. After Yoko gave Fiona 480 mℓ of coffee, the ratio of Yoko's coffee to Fiona's coffee became 7 : 4. How much coffee did Yoko have at first? Give your answer in millilitres.
|
Yoko |
Fiona |
Difference |
Before |
1 u + 1350 |
1 u |
1350 |
Change |
- 480 |
+ 480 |
|
After |
1 u + 870 |
1 u + 480 |
390 |
Comparing Yoko and Fiona in the end |
7 p |
4 p |
3 p |
Volume of coffee that Yoko had in the end
= 1 u + 1350 - 480
= 1 u + 870
Difference in the volume of coffee between Yoko and Fiona in the end
= 7 p - 4 p
= 3 p
3 p = 870 - 480
3 p = 390
1 p = 390 ÷ 3 = 130
Volume of coffee that Yoko had at first
= 7 p + 480
= 7 x 130 + 480
= 910 + 480
= 1390 mℓ
Answer(s): 1390 mℓ