Ivory had 1460 mℓ more coffee than Raeann. After Ivory gave Raeann 510 mℓ of coffee, the ratio of Ivory's coffee to Raeann's coffee became 5 : 3. How much coffee did Ivory have at first? Give your answer in millilitres.
| |
Ivory |
Raeann |
Difference |
| Before |
1 u + 1460 |
1 u |
1460 |
| Change |
- 510 |
+ 510 |
|
| After |
1 u + 950 |
1 u + 510 |
440 |
Comparing Ivory and
Raeann in the end |
5 p |
3 p |
2 p |
Volume of coffee that Ivory had in the end
= 1 u + 1460 - 510
= 1 u + 950
Difference in the volume of coffee between Ivory and Raeann in the end
= 5 p - 3 p
= 2 p
2 p = 950 - 510
2 p = 440
1 p = 440 ÷ 2 = 220
Volume of coffee that Ivory had at first
= 5 p + 510
= 5 x 220 + 510
= 1100 + 510
= 1610 mℓ
Answer(s): 1610 mℓ
