Mary had 2130 mℓ more juice than Eva. After Mary gave Eva 570 mℓ of juice, the ratio of Mary's juice to Eva's juice became 5 : 2. How much juice did Mary have at first? Give your answer in millilitres.
| |
Mary |
Eva |
Difference |
| Before |
1 u + 2130 |
1 u |
2130 |
| Change |
- 570 |
+ 570 |
|
| After |
1 u + 1560 |
1 u + 570 |
990 |
Comparing Mary and
Eva in the end |
5 p |
2 p |
3 p |
Volume of juice that Mary had in the end
= 1 u + 2130 - 570
= 1 u + 1560
Difference in the volume of juice between Mary and Eva in the end
= 5 p - 2 p
= 3 p
3 p = 1560 - 570
3 p = 990
1 p = 990 ÷ 3 = 330
Volume of juice that Mary had at first
= 5 p + 570
= 5 x 330 + 570
= 1650 + 570
= 2220 mℓ
Answer(s): 2220 mℓ
