Ivory had 1750 mℓ more coffee than Kimberly. After Ivory gave Kimberly 500 mℓ of coffee, the ratio of Ivory's coffee to Kimberly's coffee became 7 : 4. How much coffee did Ivory have at first? Give your answer in millilitres.
| |
Ivory |
Kimberly |
Difference |
| Before |
1 u + 1750 |
1 u |
1750 |
| Change |
- 500 |
+ 500 |
|
| After |
1 u + 1250 |
1 u + 500 |
750 |
Comparing Ivory and
Kimberly in the end |
7 p |
4 p |
3 p |
Volume of coffee that Ivory had in the end
= 1 u + 1750 - 500
= 1 u + 1250
Difference in the volume of coffee between Ivory and Kimberly in the end
= 7 p - 4 p
= 3 p
3 p = 1250 - 500
3 p = 750
1 p = 750 ÷ 3 = 250
Volume of coffee that Ivory had at first
= 7 p + 500
= 7 x 250 + 500
= 1750 + 500
= 2250 mℓ
Answer(s): 2250 mℓ
