Pamela had 1780 mℓ more juice than Wendy. After Pamela gave Wendy 470 mℓ of juice, the ratio of Pamela's juice to Wendy's juice became 5 : 2. How much juice did Pamela have at first? Give your answer in millilitres.
| |
Pamela |
Wendy |
Difference |
| Before |
1 u + 1780 |
1 u |
1780 |
| Change |
- 470 |
+ 470 |
|
| After |
1 u + 1310 |
1 u + 470 |
840 |
Comparing Pamela and
Wendy in the end |
5 p |
2 p |
3 p |
Volume of juice that Pamela had in the end
= 1 u + 1780 - 470
= 1 u + 1310
Difference in the volume of juice between Pamela and Wendy in the end
= 5 p - 2 p
= 3 p
3 p = 1310 - 470
3 p = 840
1 p = 840 ÷ 3 = 280
Volume of juice that Pamela had at first
= 5 p + 470
= 5 x 280 + 470
= 1400 + 470
= 1870 mℓ
Answer(s): 1870 mℓ
