Ethan poured 1050 mℓ of fruit punch into a cup, a mug and a bottle. The cup contained 3 times as much fruit punch as the mug. The bottle contained 122 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 = 3 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a bottle contained = 122 mℓ
Total volume of fruit punch
= 3 u + 1 u + 122
= 4 u + 122
4 u + 122 = 1050
4 u = 1050 - 122
4 u = 928
1 u = 928 ÷ 4 = 232
Volume of fruit punch the mug contained
= 1 u
= 232 mℓ
(b)
Amount of fruit punch that the cup contained more than the bottle
= 3 u - 122
= (3 x 232) - 122
= 696 - 122
= 574 mℓ
Answer(s): (a) 232 mℓ; (b) 574 mℓ
