Nicole had 1640 mℓ more juice than Ivory. After Nicole gave Ivory 470 mℓ of juice, the ratio of Nicole's juice to Ivory's juice became 5 : 3. How much juice did Nicole have at first? Give your answer in millilitres.
| |
Nicole |
Ivory |
Difference |
| Before |
1 u + 1640 |
1 u |
1640 |
| Change |
- 470 |
+ 470 |
|
| After |
1 u + 1170 |
1 u + 470 |
700 |
Comparing Nicole and
Ivory in the end |
5 p |
3 p |
2 p |
Volume of juice that Nicole had in the end
= 1 u + 1640 - 470
= 1 u + 1170
Difference in the volume of juice between Nicole and Ivory in the end
= 5 p - 3 p
= 2 p
2 p = 1170 - 470
2 p = 700
1 p = 700 ÷ 2 = 350
Volume of juice that Nicole had at first
= 5 p + 470
= 5 x 350 + 470
= 1750 + 470
= 2220 mℓ
Answer(s): 2220 mℓ
