Joelle had 1860 mℓ more juice than Hilda. After Joelle gave Hilda 550 mℓ of juice, the ratio of Joelle's juice to Hilda's juice became 5 : 3. How much juice did Joelle have at first? Give your answer in millilitres.
| |
Joelle |
Hilda |
Difference |
| Before |
1 u + 1860 |
1 u |
1860 |
| Change |
- 550 |
+ 550 |
|
| After |
1 u + 1310 |
1 u + 550 |
760 |
Comparing Joelle and
Hilda in the end |
5 p |
3 p |
2 p |
Volume of juice that Joelle had in the end
= 1 u + 1860 - 550
= 1 u + 1310
Difference in the volume of juice between Joelle and Hilda in the end
= 5 p - 3 p
= 2 p
2 p = 1310 - 550
2 p = 760
1 p = 760 ÷ 2 = 380
Volume of juice that Joelle had at first
= 5 p + 550
= 5 x 380 + 550
= 1900 + 550
= 2450 mℓ
Answer(s): 2450 mℓ
