Yen had 1540 mℓ more juice than Betty. After Yen gave Betty 430 mℓ of juice, the ratio of Yen's juice to Betty's juice became 7 : 3. How much juice did Yen have at first? Give your answer in millilitres.
|
Yen |
Betty |
Difference |
Before |
1 u + 1540 |
1 u |
1540 |
Change |
- 430 |
+ 430 |
|
After |
1 u + 1110 |
1 u + 430 |
680 |
Comparing Yen and Betty in the end |
7 p |
3 p |
4 p |
Volume of juice that Yen had in the end
= 1 u + 1540 - 430
= 1 u + 1110
Difference in the volume of juice between Yen and Betty in the end
= 7 p - 3 p
= 4 p
4 p = 1110 - 430
4 p = 680
1 p = 680 ÷ 4 = 170
Volume of juice that Yen had at first
= 7 p + 430
= 7 x 170 + 430
= 1190 + 430
= 1620 mℓ
Answer(s): 1620 mℓ