Gem had 1640 mℓ more juice than Vanessa. After Gem gave Vanessa 600 mℓ of juice, the ratio of Gem's juice to Vanessa's juice became 5 : 3. How much juice did Gem have at first? Give your answer in millilitres.
|
Gem |
Vanessa |
Difference |
Before |
1 u + 1640 |
1 u |
1640 |
Change |
- 600 |
+ 600 |
|
After |
1 u + 1040 |
1 u + 600 |
440 |
Comparing Gem and Vanessa in the end |
5 p |
3 p |
2 p |
Volume of juice that Gem had in the end
= 1 u + 1640 - 600
= 1 u + 1040
Difference in the volume of juice between Gem and Vanessa in the end
= 5 p - 3 p
= 2 p
2 p = 1040 - 600
2 p = 440
1 p = 440 ÷ 2 = 220
Volume of juice that Gem had at first
= 5 p + 600
= 5 x 220 + 600
= 1100 + 600
= 1700 mℓ
Answer(s): 1700 mℓ