Yoko had 2040 mℓ more juice than Anna. After Yoko gave Anna 540 mℓ of juice, the ratio of Yoko's juice to Anna's juice became 5 : 2. How much juice did Yoko have at first? Give your answer in millilitres.
| |
Yoko |
Anna |
Difference |
| Before |
1 u + 2040 |
1 u |
2040 |
| Change |
- 540 |
+ 540 |
|
| After |
1 u + 1500 |
1 u + 540 |
960 |
Comparing Yoko and
Anna in the end |
5 p |
2 p |
3 p |
Volume of juice that Yoko had in the end
= 1 u + 2040 - 540
= 1 u + 1500
Difference in the volume of juice between Yoko and Anna in the end
= 5 p - 2 p
= 3 p
3 p = 1500 - 540
3 p = 960
1 p = 960 ÷ 3 = 320
Volume of juice that Yoko had at first
= 5 p + 540
= 5 x 320 + 540
= 1600 + 540
= 2140 mℓ
Answer(s): 2140 mℓ
