Caleb poured 1100 mℓ of fruit punch into a glass, a mug and a bottle. The glass contained 3 times as much fruit punch as the mug. The bottle contained 176 mℓ of fruit punch.
- How much fruit punch did the mug contain?
- How much more fruit punch did the glass contain than the bottle?
(a)
Volume of fruit punch that a glass contained = 3 u
Volume of fruit punch that a mug contained = 1 u
Volume of fruit punch that a bottle contained = 176 mℓ
Total volume of fruit punch
= 3 u + 1 u + 176
= 4 u + 176
4 u + 176 = 1100
4 u = 1100 - 176
4 u = 924
1 u = 924 ÷ 4 = 231
Volume of fruit punch the mug contained
= 1 u
= 231 mℓ
(b)
Amount of fruit punch that the glass contained more than the bottle
= 3 u - 176
= (3 x 231) - 176
= 693 - 176
= 517 mℓ
Answer(s): (a) 231 mℓ; (b) 517 mℓ
