Olivia had 1870 mℓ more coffee than Yen. After Olivia gave Yen 500 mℓ of coffee, the ratio of Olivia's coffee to Yen's coffee became 5 : 2. How much coffee did Olivia have at first? Give your answer in millilitres.
| |
Olivia |
Yen |
Difference |
| Before |
1 u + 1870 |
1 u |
1870 |
| Change |
- 500 |
+ 500 |
|
| After |
1 u + 1370 |
1 u + 500 |
870 |
Comparing Olivia and
Yen in the end |
5 p |
2 p |
3 p |
Volume of coffee that Olivia had in the end
= 1 u + 1870 - 500
= 1 u + 1370
Difference in the volume of coffee between Olivia and Yen in the end
= 5 p - 2 p
= 3 p
3 p = 1370 - 500
3 p = 870
1 p = 870 ÷ 3 = 290
Volume of coffee that Olivia had at first
= 5 p + 500
= 5 x 290 + 500
= 1450 + 500
= 1950 mℓ
Answer(s): 1950 mℓ
