Mary had 1300 mℓ more orange juice than Hilda. After Mary gave Hilda 400 mℓ of orange juice, the ratio of Mary's orange juice to Hilda's orange juice became 5 : 3. How much orange juice did Mary have at first? Give your answer in millilitres.
| |
Mary |
Hilda |
Difference |
| Before |
1 u + 1300 |
1 u |
1300 |
| Change |
- 400 |
+ 400 |
|
| After |
1 u + 900 |
1 u + 400 |
500 |
Comparing Mary and
Hilda in the end |
5 p |
3 p |
2 p |
Volume of orange juice that Mary had in the end
= 1 u + 1300 - 400
= 1 u + 900
Difference in the volume of orange juice between Mary and Hilda in the end
= 5 p - 3 p
= 2 p
2 p = 900 - 400
2 p = 500
1 p = 500 ÷ 2 = 250
Volume of orange juice that Mary had at first
= 5 p + 400
= 5 x 250 + 400
= 1250 + 400
= 1650 mℓ
Answer(s): 1650 mℓ
