Chloe poured 806 mℓ of fruit punch into a cup, a mug and a bottle. The cup contained 4 times as much fruit punch as the mug. The bottle contained 166 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the cup contain than the bottle?
(a)
Volume of fruit punch that a cup contained = 4 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a bottle contained = 166 mℓ
Total volume of fruit punch
= 4 u + 1 u + 166
= 5 u + 166
5 u + 166 = 806
5 u = 806 - 166
5 u = 640
1 u = 640 ÷ 5 = 128
Volume of fruit punch the mug contained
= 1 u
= 128 mℓ
(b)
Amount of fruit punch that the cup contained more than the bottle
= 4 u - 166
= (4 x 128) - 166
= 512 - 166
= 346 mℓ
Answer(s): (a) 128 mℓ; (b) 346 mℓ