Hazel had 1860 mℓ more juice than Zara. After Hazel gave Zara 450 mℓ of juice, the ratio of Hazel's juice to Zara's juice became 7 : 4. How much juice did Hazel have at first? Give your answer in millilitres.
|
Hazel |
Zara |
Difference |
Before |
1 u + 1860 |
1 u |
1860 |
Change |
- 450 |
+ 450 |
|
After |
1 u + 1410 |
1 u + 450 |
960 |
Comparing Hazel and Zara in the end |
7 p |
4 p |
3 p |
Volume of juice that Hazel had in the end
= 1 u + 1860 - 450
= 1 u + 1410
Difference in the volume of juice between Hazel and Zara in the end
= 7 p - 4 p
= 3 p
3 p = 1410 - 450
3 p = 960
1 p = 960 ÷ 3 = 320
Volume of juice that Hazel had at first
= 7 p + 450
= 7 x 320 + 450
= 2240 + 450
= 2690 mℓ
Answer(s): 2690 mℓ