Jean had 1800 mℓ more milk than Cindy. After Jean gave Cindy 550 mℓ of milk, the ratio of Jean's milk to Cindy's milk became 5 : 3. How much milk did Jean have at first? Give your answer in millilitres.
| |
Jean |
Cindy |
Difference |
| Before |
1 u + 1800 |
1 u |
1800 |
| Change |
- 550 |
+ 550 |
|
| After |
1 u + 1250 |
1 u + 550 |
700 |
Comparing Jean and
Cindy in the end |
5 p |
3 p |
2 p |
Volume of milk that Jean had in the end
= 1 u + 1800 - 550
= 1 u + 1250
Difference in the volume of milk between Jean and Cindy in the end
= 5 p - 3 p
= 2 p
2 p = 1250 - 550
2 p = 700
1 p = 700 ÷ 2 = 350
Volume of milk that Jean had at first
= 5 p + 550
= 5 x 350 + 550
= 1750 + 550
= 2300 mℓ
Answer(s): 2300 mℓ
